52577 has 12 divisors (see below), whose sum is σ = 64980. Its totient is φ = 42336.

The previous prime is 52571. The next prime is 52579. The reversal of 52577 is 77525.

52577 = 8³ + 9³ + ... + 21³.

52577 is nontrivially palindromic in base 9.

52577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38416 + 14161 = 196^2 + 119^2 .

It is not a de Polignac number, because 52577 - 2⁴ = 52561 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1403 + ... + 1439.

It is an arithmetic number, because the mean of its divisors is an integer number (5415).

2⁵²⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

52577 is a deficient number, since it is larger than the sum of its proper divisors (12403).

52577 is a wasteful number, since it uses less digits than its factorization.

52577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 73 counting only the distinct ones).

The product of its digits is 2450, while the sum is 26.

The square root of 52577 is about 229.2967509582. The cubic root of 52577 is about 37.4626591262.

The spelling of 52577 in words is "fifty-two thousand, five hundred seventy-seven".