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1252142325 = 325272137829
BaseRepresentation
bin100101010100010…
…0010110011110101
310020021010102100200
41022220202303311
510031022023300
6324125431113
743013014500
oct11250426365
93207112320
101252142325
11592890075
122ab40b499
1316c54ca25
14bc424137
1574dda200
hex4aa22cf5

1252142325 has 108 divisors (see below), whose sum is σ = 2631098340. Its totient is φ = 567544320.

The previous prime is 1252142321. The next prime is 1252142347. The reversal of 1252142325 is 5232412521.

1252142325 is a `hidden beast` number, since 125 + 214 + 2 + 325 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4498641 + 1247643684 = 2121^2 + 35322^2 .

It is not a de Polignac number, because 1252142325 - 22 = 1252142321 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252142321) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1510011 + ... + 1510839.

Almost surely, 21252142325 is an apocalyptic number.

1252142325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1252142325 is an abundant number, since it is smaller than the sum of its proper divisors (1378956015).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1252142325 is a wasteful number, since it uses less digits than its factorization.

1252142325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 981 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 1252142325 is about 35385.6231399138. The cubic root of 1252142325 is about 1077.8323936869.

Adding to 1252142325 its reverse (5232412521), we get a palindrome (6484554846).

The spelling of 1252142325 in words is "one billion, two hundred fifty-two million, one hundred forty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 137 147 175 225 245 315 411 441 525 685 735 829 959 1225 1233 1575 2055 2205 2487 2877 3425 3675 4145 4795 5803 6165 6713 7461 8631 10275 11025 12435 14385 17409 20139 20725 23975 29015 30825 33565 37305 40621 43155 52227 60417 62175 71925 87045 100695 113573 121863 145075 167825 186525 203105 215775 261135 302085 340719 365589 435225 503475 567865 609315 795011 1015525 1022157 1305675 1510425 1703595 1827945 2385033 2839325 3046575 3975055 5110785 5565077 7155099 8517975 9139725 11925165 16695231 19875275 25553925 27825385 35775495 50085693 59625825 83476155 139126925 178877475 250428465 417380775 1252142325