53137312 has 48 divisors (see below), whose sum is σ = 108496584. Its totient is φ = 25600000.

The previous prime is 53137303. The next prime is 53137321. The reversal of 53137312 is 21373135.

53137312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53137303) and next prime (53137321).

It can be written as a sum of positive squares in 4 ways, for example, as 53056656 + 80656 = 7284^2 + 284^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132312 + ... + 132712.

Almost surely, 2^53137312 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 53137312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54248292).

53137312 is an abundant number, since it is smaller than the sum of its proper divisors (55359272).

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

53137312 is a wasteful number, since it uses less digits than its factorization.

53137312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 545 counting only the distinct ones).

The product of its digits is 1890, while the sum is 25.

The square root of 53137312 is about 7289.5344158595. The cubic root of 53137312 is about 375.9526875734.

The spelling of 53137312 in words is "fifty-three million, one hundred thirty-seven thousand, three hundred twelve".