51577135236 has 405 divisors, whose sum is σ = 157390457301. Its totient is φ = 14716468800.

The previous prime is 51577135229. The next prime is 51577135241. The reversal of 51577135236 is 63253177515.

The square root of 51577135236 is 227106.

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

51577135236 is a `hidden beast` number, since 5 + 1 + 57 + 71 + 3 + 523 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46151928900 + 5425206336 = 214830^2 + 73656^2 .

Its product of digits (661500) is a multiple of the sum of its prime divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 51577135191 and 51577135200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1393976610 + ... + 1393976646.

Almost surely, 2^51577135236 is an apocalyptic number.

51577135236 is the 227106-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51577135236

51577135236 is an abundant number, since it is smaller than the sum of its proper divisors (105813322065).

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

51577135236 is a wasteful number, since it uses less digits than its factorization.

51577135236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 84 counting only the distinct ones).

The product of its digits is 661500, while the sum is 45.

The spelling of 51577135236 in words is "fifty-one billion, five hundred seventy-seven million, one hundred thirty-five thousand, two hundred thirty-six".