53138820 has 96 divisors (see below), whose sum is σ = 179020800. Its totient is φ = 11505024.

The previous prime is 53138803. The next prime is 53138857. The reversal of 53138820 is 2883135.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4651 + ... + 11309.

It is an arithmetic number, because the mean of its divisors is an integer number (1864800).

Almost surely, 2^53138820 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 53138820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89510400).

53138820 is an abundant number, since it is smaller than the sum of its proper divisors (125881980).

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

53138820 is a wasteful number, since it uses less digits than its factorization.

53138820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6697 (or 6695 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 53138820 is about 7289.6378510870. The cubic root of 53138820 is about 375.9562439651.

The spelling of 53138820 in words is "fifty-three million, one hundred thirty-eight thousand, eight hundred twenty".