51503579136 has 225 divisors, whose sum is σ = 154655226649. Its totient is φ = 17080713216.

The previous prime is 51503579119. The next prime is 51503579191. The reversal of 51503579136 is 63197530515.

The square root of 51503579136 is 226944.

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

51503579136 is a `hidden beast` number, since 5 + 1 + 503 + 5 + 7 + 9 + 136 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50463129600 + 1040449536 = 224640^2 + 32256^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 51503579091 and 51503579100.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 261439390 + ... + 261439586.

Almost surely, 2^51503579136 is an apocalyptic number.

51503579136 is the 226944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51503579136

51503579136 is an abundant number, since it is smaller than the sum of its proper divisors (103151647513).

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

51503579136 is an frugal number, since it uses more digits than its factorization.

51503579136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 45.

The spelling of 51503579136 in words is "fifty-one billion, five hundred three million, five hundred seventy-nine thousand, one hundred thirty-six".