90525163875 has 64 divisors (see below), whose sum is σ = 157707164160. Its totient is φ = 46053168000.

The previous prime is 90525163853. The next prime is 90525163891. The reversal of 90525163875 is 57836152509.

It is a happy number.

It is a Cunningham number, because it is equal to 300874²-1.

It is not a de Polignac number, because 90525163875 - 2⁵ = 90525163843 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 852480 + ... + 952770.

It is an arithmetic number, because the mean of its divisors is an integer number (2464174440).

Almost surely, 2^90525163875 is an apocalyptic number.

90525163875 is a deficient number, since it is larger than the sum of its proper divisors (67182000285).

90525163875 is a wasteful number, since it uses less digits than its factorization.

90525163875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100421 (or 100411 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 51.

The spelling of 90525163875 in words is "ninety billion, five hundred twenty-five million, one hundred sixty-three thousand, eight hundred seventy-five".