101252355525 has 72 divisors (see below), whose sum is σ = 182615948736. Its totient is φ = 53626924800.

The previous prime is 101252355511. The next prime is 101252355553. The reversal of 101252355525 is 525553252101.

101252355525 is a `hidden beast` number, since 1 + 0 + 1 + 252 + 355 + 52 + 5 = 666.

It is not a de Polignac number, because 101252355525 - 2⁷ = 101252355397 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 101252355525.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19800369 + ... + 19805481.

Almost surely, 2^101252355525 is an apocalyptic number.

101252355525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101252355525 is a deficient number, since it is larger than the sum of its proper divisors (81363593211).

101252355525 is a wasteful number, since it uses less digits than its factorization.

101252355525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5723 (or 5715 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 101252355525 in words is "one hundred one billion, two hundred fifty-two million, three hundred fifty-five thousand, five hundred twenty-five".