53131505200 has 120 divisors (see below), whose sum is σ = 130905851648. Its totient is φ = 20712464640.

The previous prime is 53131505177. The next prime is 53131505239. The reversal of 53131505200 is 250513135.

53131505200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 8373229 + ... + 8379571.

Almost surely, 2^53131505200 is an apocalyptic number.

53131505200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53131505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65452925824).

53131505200 is an abundant number, since it is smaller than the sum of its proper divisors (77774346448).

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

53131505200 is a wasteful number, since it uses less digits than its factorization.

53131505200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6891 (or 6880 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The spelling of 53131505200 in words is "fifty-three billion, one hundred thirty-one million, five hundred five thousand, two hundred".