82572513 has 16 divisors (see below), whose sum is σ = 113034240. Its totient is φ = 53588304.

The previous prime is 82572473. The next prime is 82572517. The reversal of 82572513 is 31527528.

It is not a de Polignac number, because 82572513 - 2⁸ = 82572257 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82572517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45420 + ... + 47202.

It is an arithmetic number, because the mean of its divisors is an integer number (7064640).

Almost surely, 2^82572513 is an apocalyptic number.

It is an amenable number.

82572513 is a deficient number, since it is larger than the sum of its proper divisors (30461727).

82572513 is a wasteful number, since it uses less digits than its factorization.

82572513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188.

The product of its digits is 16800, while the sum is 33.

The square root of 82572513 is about 9086.9418948291. The cubic root of 82572513 is about 435.4568908036.

The spelling of 82572513 in words is "eighty-two million, five hundred seventy-two thousand, five hundred thirteen".