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1325253501 = 3311134767109
BaseRepresentation
bin100111011111101…
…1100001101111101
310102100200212001000
41032333130031331
510203231103001
6335300440513
744561316555
oct11677341575
93370625030
101325253501
11620086630
1230b9a9139
1318173a690
14c8016165
157b52ca86
hex4efdc37d

1325253501 has 128 divisors (see below), whose sum is σ = 2412748800. Its totient is φ = 708238080.

The previous prime is 1325253443. The next prime is 1325253539. The reversal of 1325253501 is 1053525231.

It is a happy number.

1325253501 is a `hidden beast` number, since 132 + 5 + 25 + 3 + 501 = 666.

It is not a de Polignac number, because 1325253501 - 26 = 1325253437 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325253541) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12158235 + ... + 12158343.

It is an arithmetic number, because the mean of its divisors is an integer number (18849600).

Almost surely, 21325253501 is an apocalyptic number.

1325253501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1325253501 is a deficient number, since it is larger than the sum of its proper divisors (1087495299).

1325253501 is a wasteful number, since it uses less digits than its factorization.

1325253501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1325253501 is about 36404.0313839003. The cubic root of 1325253501 is about 1098.4146586973.

Adding to 1325253501 its reverse (1053525231), we get a palindrome (2378778732).

The spelling of 1325253501 in words is "one billion, three hundred twenty-five million, two hundred fifty-three thousand, five hundred one".

Divisors: 1 3 9 11 13 27 33 39 47 67 99 109 117 141 143 201 297 327 351 423 429 517 603 611 737 871 981 1199 1269 1287 1417 1551 1809 1833 2211 2613 2943 3149 3597 3861 4251 4653 5123 5499 6633 6721 7303 7839 9447 9581 10791 12753 13959 15369 15587 16497 19899 20163 21909 23517 28341 28743 32373 34639 38259 40937 46107 46761 56353 60489 65727 66599 80333 85023 86229 94939 103917 122811 138321 140283 169059 181467 197181 199797 240999 258687 284817 311751 343241 368433 420849 450307 507177 599391 722997 732589 854451 935253 1029723 1044329 1105299 1350921 1521531 1798173 2168991 2197767 2563353 3089169 3132987 3775651 4052763 4462133 6593301 9267507 9398961 11326953 12158289 13386399 19779903 28196883 33980859 40159197 49083463 101942577 120477591 147250389 441751167 1325253501