51165900 has 108 divisors (see below), whose sum is σ = 161925400. Its totient is φ = 13512960.

The previous prime is 51165883. The next prime is 51165901. The reversal of 51165900 is 956115.

51165900 is a `hidden beast` number, since 5 + 1 + 1 + 659 + 0 + 0 = 666.

51165900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (51165901) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 124896 + ... + 125304.

Almost surely, 2^51165900 is an apocalyptic number.

51165900 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 51165900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80962700).

51165900 is an abundant number, since it is smaller than the sum of its proper divisors (110759500).

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

51165900 is a wasteful number, since it uses less digits than its factorization.

51165900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 51165900 is about 7153.0343211815. The cubic root of 51165900 is about 371.2446518292.

The spelling of 51165900 in words is "fifty-one million, one hundred sixty-five thousand, nine hundred".