53311900 has 72 divisors (see below), whose sum is σ = 120113840. Its totient is φ = 20528640.

The previous prime is 53311897. The next prime is 53311903. The reversal of 53311900 is 911335.

It is an interprime number because it is at equal distance from previous prime (53311897) and next prime (53311903).

It is a super-2 number, since 2×53311900² = 5684317363220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53311903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489046 + ... + 489154.

Almost surely, 2^53311900 is an apocalyptic number.

53311900 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 53311900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60056920).

53311900 is an abundant number, since it is smaller than the sum of its proper divisors (66801940).

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

53311900 is a wasteful number, since it uses less digits than its factorization.

53311900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 22.

The square root of 53311900 is about 7301.4998459221. The cubic root of 53311900 is about 376.3639809490.

The spelling of 53311900 in words is "fifty-three million, three hundred eleven thousand, nine hundred".