51009125904 has 405 divisors, whose sum is σ = 165310625389. Its totient is φ = 14671345920.

The previous prime is 51009125899. The next prime is 51009125927. The reversal of 51009125904 is 40952190015.

The square root of 51009125904 is 225852.

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

51009125904 is a `hidden beast` number, since 51 + 0 + 0 + 9 + 12 + 590 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26747948304 + 24261177600 = 163548^2 + 155760^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 864561427 + ... + 864561485.

Almost surely, 2^51009125904 is an apocalyptic number.

51009125904 is the 225852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51009125904

51009125904 is an abundant number, since it is smaller than the sum of its proper divisors (114301499485).

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

51009125904 is a wasteful number, since it uses less digits than its factorization.

51009125904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

Multiplying 51009125904 by its sum of digits (36), we get a square (1836328532544 = 1355112²).

51009125904 divided by its sum of digits (36) gives a square (1416920164 = 37642²).

The spelling of 51009125904 in words is "fifty-one billion, nine million, one hundred twenty-five thousand, nine hundred four".