53112564 has 24 divisors (see below), whose sum is σ = 137699520. Its totient is φ = 17704152.

The previous prime is 53112551. The next prime is 53112593. The reversal of 53112564 is 46521135.

53112564 is a `hidden beast` number, since 531 + 125 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245784 + ... + 245999.

It is an arithmetic number, because the mean of its divisors is an integer number (5737480).

Almost surely, 2^53112564 is an apocalyptic number.

53112564 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

53112564 is an abundant number, since it is smaller than the sum of its proper divisors (84586956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53112564 is a wasteful number, since it uses less digits than its factorization.

53112564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491796 (or 491788 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 53112564 is about 7287.8367160633. The cubic root of 53112564 is about 375.8943135135.

Adding to 53112564 its reverse (46521135), we get a palindrome (99633699).

It can be divided in two parts, 5311 and 2564, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 53112564 in words is "fifty-three million, one hundred twelve thousand, five hundred sixty-four".