51076904004 has 81 divisors (see below), whose sum is σ = 150218336541. Its totient is φ = 14590689120.

The previous prime is 51076903993. The next prime is 51076904213. The reversal of 51076904004 is 40040967015.

The square root of 51076904004 is 226002.

It is a perfect power (a square), and thus also a powerful number.

51076904004 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 only one way, i.e., 16614694404 + 34462209600 = 128898^2 + 185640^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 51076904004.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9489394 + ... + 9494774.

Almost surely, 2^51076904004 is an apocalyptic number.

51076904004 is the 226002-nd square number.

It is an amenable number.

51076904004 is an abundant number, since it is smaller than the sum of its proper divisors (99141432537).

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

51076904004 is an equidigital number, since it uses as much as digits as its factorization.

51076904004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10786 (or 5393 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 51076904004 by its sum of digits (36), we get a square (1838768544144 = 1356012²).

51076904004 divided by its sum of digits (36) gives a square (1418802889 = 37667²).

The spelling of 51076904004 in words is "fifty-one billion, seventy-six million, nine hundred four thousand, four".