172564513 has 6 divisors (see below), whose sum is σ = 189678482. Its totient is φ = 156876720.

The previous prime is 172564429. The next prime is 172564523. The reversal of 172564513 is 315465271.

It can be written as a sum of positive squares in only one way, i.e., 148279329 + 24285184 = 12177^2 + 4928^2 .

It is not a de Polignac number, because 172564513 - 2⁹ = 172564001 is a prime.

It is a super-2 number, since 2×172564513² = 59557022293854338, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (172564523) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 712956 + ... + 713197.

Almost surely, 2^172564513 is an apocalyptic number.

It is an amenable number.

172564513 is a deficient number, since it is larger than the sum of its proper divisors (17113969).

172564513 is a wasteful number, since it uses less digits than its factorization.

172564513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426175 (or 1426164 counting only the distinct ones).

The product of its digits is 25200, while the sum is 34.

The square root of 172564513 is about 13136.3812749174. The cubic root of 172564513 is about 556.7375279214.

The spelling of 172564513 in words is "one hundred seventy-two million, five hundred sixty-four thousand, five hundred thirteen".