53507520 has 224 divisors, whose sum is σ = 206288640. Its totient is φ = 12948480.

The previous prime is 53507507. The next prime is 53507533. The reversal of 53507520 is 2570535.

It is an interprime number because it is at equal distance from previous prime (53507507) and next prime (53507533).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94759 + ... + 95321.

Almost surely, 2^53507520 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 53507520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103144320).

53507520 is an abundant number, since it is smaller than the sum of its proper divisors (152781120).

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

53507520 is a wasteful number, since it uses less digits than its factorization.

53507520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 53507520 is about 7314.8834577182. The cubic root of 53507520 is about 376.8237560583.

It can be divided in two parts, 535075 and 20, that added together give a triangular number (535095 = T₁₀₃₄).

The spelling of 53507520 in words is "fifty-three million, five hundred seven thousand, five hundred twenty".