53813520 has 120 divisors (see below), whose sum is σ = 186630912. Its totient is φ = 13881600.

The previous prime is 53813509. The next prime is 53813549. The reversal of 53813520 is 2531835.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21115 + ... + 23525.

Almost surely, 2^53813520 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 53813520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93315456).

53813520 is an abundant number, since it is smaller than the sum of its proper divisors (132817392).

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

53813520 is a wasteful number, since it uses less digits than its factorization.

53813520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 53813520 is about 7335.7698982452. The cubic root of 53813520 is about 377.5407204294.

The spelling of 53813520 in words is "fifty-three million, eight hundred thirteen thousand, five hundred twenty".