51577205000 has 80 divisors (see below), whose sum is σ = 121038114780. Its totient is φ = 20597984000.

The previous prime is 51577204999. The next prime is 51577205023. The reversal of 51577205000 is 50277515.

It can be written as a sum of positive squares in 10 ways, for example, as 4681570084 + 46895634916 = 68422^2 + 216554^2 .

It is a super-2 number, since 2×51577205000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3257102 + ... + 3272898.

Almost surely, 2^51577205000 is an apocalyptic number.

51577205000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51577205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60519057390).

51577205000 is an abundant number, since it is smaller than the sum of its proper divisors (69460909780).

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

51577205000 is a wasteful number, since it uses less digits than its factorization.

51577205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16476 (or 16457 counting only the distinct ones).

The product of its (nonzero) digits is 12250, while the sum is 32.

The spelling of 51577205000 in words is "fifty-one billion, five hundred seventy-seven million, two hundred five thousand".