90917325625 has 45 divisors (see below), whose sum is σ = 132235656201. Its totient is φ = 62307126000.

The previous prime is 90917325593. The next prime is 90917325661. The reversal of 90917325625 is 52652371909.

The square root of 90917325625 is 301525.

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

It can be written as a sum of positive squares in 2 ways, for example, as 7127918329 + 83789407296 = 84427^2 + 289464^2 .

It is not a de Polignac number, because 90917325625 - 2⁵ = 90917325593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian 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 44 ways as a sum of consecutive naturals, for example, 52766014 + ... + 52767736.

Almost surely, 2^90917325625 is an apocalyptic number.

90917325625 is the 301525-th square number.

90917325625 is the 150763-rd centered octagonal number.

It is an amenable number.

90917325625 is a deficient number, since it is larger than the sum of its proper divisors (41318330576).

90917325625 is an frugal number, since it uses more digits than its factorization.

90917325625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 49.

Multiplying 90917325625 by its sum of digits (49), we get a square (4454948955625 = 2110675²).

90917325625 divided by its sum of digits (49) gives a square (1855455625 = 43075²).

The spelling of 90917325625 in words is "ninety billion, nine hundred seventeen million, three hundred twenty-five thousand, six hundred twenty-five".