10112533305525 has 432 divisors, whose sum is σ = 23215937299200. Its totient is φ = 4301689835520.

The previous prime is 10112533305509. The next prime is 10112533305541. The reversal of 10112533305525 is 52550333521101.

10112533305525 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 253 + 330 + 55 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (10112533305509) and next prime (10112533305541).

It is not a de Polignac number, because 10112533305525 - 2⁴ = 10112533305509 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10112533305525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 850716132 + ... + 850728018.

It is an arithmetic number, because the mean of its divisors is an integer number (53740595600).

Almost surely, 2^{10112533305525} is an apocalyptic number.

10112533305525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10112533305525 is an abundant number, since it is smaller than the sum of its proper divisors (13103403993675).

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

10112533305525 is a wasteful number, since it uses less digits than its factorization.

10112533305525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12043 (or 12008 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

Adding to 10112533305525 its reverse (52550333521101), we get a palindrome (62662866826626).

The spelling of 10112533305525 in words is "ten trillion, one hundred twelve billion, five hundred thirty-three million, three hundred five thousand, five hundred twenty-five".