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4053011325 = 35211101127383
BaseRepresentation
bin1111000110010100…
…0000101101111101
3101110110110022022120
43301211000231331
531300032330300
61510102033153
7202303012356
oct36145005575
911413408276
104053011325
11179a901440
129514187b9
134c78c266c
142a63d2d2d
1518ac473a0
hexf1940b7d

4053011325 has 96 divisors (see below), whose sum is σ = 7460093952. Its totient is φ = 1925280000.

The previous prime is 4053011299. The next prime is 4053011407. The reversal of 4053011325 is 5231103504.

It is not a de Polignac number, because 4053011325 - 211 = 4053009277 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4053011295 and 4053011304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10582084 + ... + 10582466.

It is an arithmetic number, because the mean of its divisors is an integer number (77709312).

Almost surely, 24053011325 is an apocalyptic number.

It is an amenable number.

4053011325 is a deficient number, since it is larger than the sum of its proper divisors (3407082627).

4053011325 is a wasteful number, since it uses less digits than its factorization.

4053011325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 4053011325 is about 63663.2651141928. The cubic root of 4053011325 is about 1594.3828189016.

Adding to 4053011325 its reverse (5231103504), we get a palindrome (9284114829).

The spelling of 4053011325 in words is "four billion, fifty-three million, eleven thousand, three hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 101 127 165 275 303 381 383 505 635 825 1111 1149 1397 1515 1905 1915 2525 3175 3333 4191 4213 5555 5745 6985 7575 9525 9575 12639 12827 16665 20955 21065 27775 28725 34925 38481 38683 48641 63195 64135 83325 104775 105325 116049 141097 145923 192405 193415 243205 315975 320675 423291 425513 535051 580245 705485 729615 962025 967075 1216025 1276539 1605153 2116455 2127565 2675255 2901225 3527425 3648075 4912741 6382695 8025765 10582275 10637825 13376275 14738223 24563705 31913475 40128825 54040151 73691115 122818525 162120453 270200755 368455575 810602265 1351003775 4053011325