90875117025 has 567 divisors, whose sum is σ = 223731177033. Its totient is φ = 36463996800.

The previous prime is 90875116999. The next prime is 90875117071. The reversal of 90875117025 is 52071157809.

The square root of 90875117025 is 301455.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1249127649 + 89625989376 = 35343^2 + 299376^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is not a de Polignac number, because 90875117025 - 2⁵ = 90875116993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon 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 566 ways as a sum of consecutive naturals, for example, 3133624711 + ... + 3133624739.

Almost surely, 2^90875117025 is an apocalyptic number.

90875117025 is the 301455-th square number.

90875117025 is the 150728-th centered octagonal number.

It is an amenable number.

90875117025 is an abundant number, since it is smaller than the sum of its proper divisors (132856060008).

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

90875117025 is a wasteful number, since it uses less digits than its factorization.

90875117025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 90875117025 in words is "ninety billion, eight hundred seventy-five million, one hundred seventeen thousand, twenty-five".