52613760 has 128 divisors (see below), whose sum is σ = 170625600. Its totient is φ = 13787136.

The previous prime is 52613749. The next prime is 52613767. The reversal of 52613760 is 6731625.

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 (30).

It is not an unprimeable number, because it can be changed into a prime (52613767) 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, 128436 + ... + 128844.

Almost surely, 2^52613760 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 52613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85312800).

52613760 is an abundant number, since it is smaller than the sum of its proper divisors (118011840).

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

52613760 is a wasteful number, since it uses less digits than its factorization.

52613760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 52613760 is about 7253.5343109411. The cubic root of 52613760 is about 374.7138795268.

The spelling of 52613760 in words is "fifty-two million, six hundred thirteen thousand, seven hundred sixty".