45191525 has 24 divisors (see below), whose sum is σ = 59922504. Its totient is φ = 33689600.

The previous prime is 45191501. The next prime is 45191539. The reversal of 45191525 is 52519154.

45191525 = 4753² + 4754².

It can be written as a sum of positive squares in 12 ways, for example, as 16654561 + 28536964 = 4081^2 + 5342^2 .

It is not a de Polignac number, because 45191525 - 2⁸ = 45191269 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45191491 and 45191500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47555 + ... + 48495.

It is an arithmetic number, because the mean of its divisors is an integer number (2496771).

Almost surely, 2^45191525 is an apocalyptic number.

45191525 is the 4754-th centered square number.

It is an amenable number.

45191525 is a deficient number, since it is larger than the sum of its proper divisors (14730979).

45191525 is a wasteful number, since it uses less digits than its factorization.

45191525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1076 counting only the distinct ones).

The product of its digits is 9000, while the sum is 32.

The square root of 45191525 is about 6722.4642059293. The cubic root of 45191525 is about 356.1932340044.

The spelling of 45191525 in words is "forty-five million, one hundred ninety-one thousand, five hundred twenty-five".