51166125200 has 30 divisors (see below), whose sum is σ = 122926616754. Its totient is φ = 20466449920.

The previous prime is 51166125181. The next prime is 51166125253. The reversal of 51166125200 is 252166115.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 39488656 + 51126636544 = 6284^2 + 226112^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63957257 + ... + 63958056.

Almost surely, 2^51166125200 is an apocalyptic number.

51166125200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51166125200 is an abundant number, since it is smaller than the sum of its proper divisors (71760491554).

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

51166125200 is a wasteful number, since it uses less digits than its factorization.

51166125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127915331 (or 127915320 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

It can be divided in two parts, 5116 and 6125200, that added together give a palindrome (6130316).

The spelling of 51166125200 in words is "fifty-one billion, one hundred sixty-six million, one hundred twenty-five thousand, two hundred".