51658164 has 36 divisors (see below), whose sum is σ = 135085860. Its totient is φ = 16625280.

The previous prime is 51658153. The next prime is 51658219. The reversal of 51658164 is 46185615.

51658164 is a `hidden beast` number, since 5 + 16 + 581 + 64 = 666.

51658164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 16160400 + 35497764 = 4020^2 + 5958^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 23697 + ... + 25784.

It is an arithmetic number, because the mean of its divisors is an integer number (3752385).

Almost surely, 2^51658164 is an apocalyptic number.

It is an amenable number.

51658164 is an abundant number, since it is smaller than the sum of its proper divisors (83427696).

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

51658164 is a wasteful number, since it uses less digits than its factorization.

51658164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49520 (or 49515 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 51658164 is about 7187.3614073594. The cubic root of 51658164 is about 372.4314280034.

The spelling of 51658164 in words is "fifty-one million, six hundred fifty-eight thousand, one hundred sixty-four".