53772564 has 24 divisors (see below), whose sum is σ = 132850368. Its totient is φ = 16869760.

The previous prime is 53772553. The next prime is 53772571. The reversal of 53772564 is 46527735.

It is a super-3 number, since 3×53772564³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 131592 + ... + 131999.

It is an arithmetic number, because the mean of its divisors is an integer number (5535432).

Almost surely, 2^53772564 is an apocalyptic number.

It is an amenable number.

53772564 is an abundant number, since it is smaller than the sum of its proper divisors (79077804).

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

53772564 is a wasteful number, since it uses less digits than its factorization.

53772564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263615 (or 263613 counting only the distinct ones).

The product of its digits is 176400, while the sum is 39.

The square root of 53772564 is about 7332.9778398683. The cubic root of 53772564 is about 377.4449174780. Note that the first 3 decimals are identical.

The spelling of 53772564 in words is "fifty-three million, seven hundred seventy-two thousand, five hundred sixty-four".