52513664 has 128 divisors (see below), whose sum is σ = 129254400. Its totient is φ = 20772864.

The previous prime is 52513639. The next prime is 52513667. The reversal of 52513664 is 46631525.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 52513664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52513667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117289 + ... + 1117335.

It is an arithmetic number, because the mean of its divisors is an integer number (1009800).

Almost surely, 2^52513664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52513664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64627200).

52513664 is an abundant number, since it is smaller than the sum of its proper divisors (76740736).

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

52513664 is a wasteful number, since it uses less digits than its factorization.

52513664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 128 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

The square root of 52513664 is about 7246.6312173313. The cubic root of 52513664 is about 374.4761016073.

The spelling of 52513664 in words is "fifty-two million, five hundred thirteen thousand, six hundred sixty-four".