52664049 has 27 divisors (see below), whose sum is σ = 79314859. Its totient is φ = 33672480.

The previous prime is 52664047. The next prime is 52664069. The reversal of 52664049 is 94046625.

The square root of 52664049 is 7257.

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

52664049 is a `hidden beast` number, since 5 + 2 + 6 + 640 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2537649 + 50126400 = 1593^2 + 7080^2 .

It is not a de Polignac number, because 52664049 - 2¹ = 52664047 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52664041) 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, 892582 + ... + 892640.

Almost surely, 2^52664049 is an apocalyptic number.

52664049 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

52664049 is the 7257-th square number.

52664049 is the 3629-th centered octagonal number.

It is an amenable number.

52664049 is a deficient number, since it is larger than the sum of its proper divisors (26650810).

52664049 is an equidigital number, since it uses as much as digits as its factorization.

52664049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The cubic root of 52664049 is about 374.8332271759.

Multiplying 52664049 by its sum of digits (36), we get a square (1895905764 = 43542²).

The spelling of 52664049 in words is "fifty-two million, six hundred sixty-four thousand, forty-nine".