53138592 has 240 divisors, whose sum is σ = 179292960. Its totient is φ = 15303168.

The previous prime is 53138587. The next prime is 53138593. The reversal of 53138592 is 29583135.

53138592 is a `hidden beast` number, since 5 + 31 + 38 + 592 = 666.

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

Its product of digits (32400) is a multiple of the sum of its prime divisors (120).

It is not an unprimeable number, because it can be changed into a prime (53138593) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 640183 + ... + 640265.

It is an arithmetic number, because the mean of its divisors is an integer number (747054).

Almost surely, 2^53138592 is an apocalyptic number.

53138592 is a gapful number since it is divisible by the number (52) 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 53138592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89646480).

53138592 is an abundant number, since it is smaller than the sum of its proper divisors (126154368).

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

53138592 is a wasteful number, since it uses less digits than its factorization.

53138592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 53138592 is about 7289.6222124332. The cubic root of 53138592 is about 375.9557062656.

The spelling of 53138592 in words is "fifty-three million, one hundred thirty-eight thousand, five hundred ninety-two".