53815752 has 192 divisors, whose sum is σ = 167731200. Its totient is φ = 16096320.

The previous prime is 53815711. The next prime is 53815753. The reversal of 53815752 is 25751835.

53815752 is a `hidden beast` number, since 5 + 3 + 81 + 575 + 2 = 666.

It is a super-2 number, since 2×53815752² = 5792270326651008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53815753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1144993 + ... + 1145039.

It is an arithmetic number, because the mean of its divisors is an integer number (873600).

Almost surely, 2^53815752 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 53815752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83865600).

53815752 is an abundant number, since it is smaller than the sum of its proper divisors (113915448).

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

53815752 is a wasteful number, since it uses less digits than its factorization.

53815752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 102 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 53815752 is about 7335.9220279390. The cubic root of 53815752 is about 377.5459400547.

It can be divided in two parts, 538 and 15752, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 53815752 in words is "fifty-three million, eight hundred fifteen thousand, seven hundred fifty-two".