91525611024 has 135 divisors (see below), whose sum is σ = 272281836333. Its totient is φ = 28694555136.

The previous prime is 91525611011. The next prime is 91525611029. The reversal of 91525611024 is 42011652519.

The square root of 91525611024 is 302532.

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

91525611024 is a `hidden beast` number, since 9 + 15 + 2 + 5 + 611 + 0 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71256963600 + 20268647424 = 266940^2 + 142368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 91525611024.

It is not an unprimeable number, because it can be changed into a prime (91525611029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61715787 + ... + 61717269.

Almost surely, 2^91525611024 is an apocalyptic number.

91525611024 is the 302532-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91525611024

91525611024 is an abundant number, since it is smaller than the sum of its proper divisors (180756225309).

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

91525611024 is a wasteful number, since it uses less digits than its factorization.

91525611024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Multiplying 91525611024 by its sum of digits (36), we get a square (3294921996864 = 1815192²).

91525611024 divided by its sum of digits (36) gives a square (2542378084 = 50422²).

The spelling of 91525611024 in words is "ninety-one billion, five hundred twenty-five million, six hundred eleven thousand, twenty-four".