51161916100 has 27 divisors (see below), whose sum is σ = 111026266477. Its totient is φ = 20463861680.

The previous prime is 51161916097. The next prime is 51161916119. The reversal of 51161916100 is 161916115.

The square root of 51161916100 is 226190.

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

It can be written as a sum of positive squares in only one way, i.e., 18418289796 + 32743626304 = 135714^2 + 180952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2250591 + ... + 2273209.

Almost surely, 2^51161916100 is an apocalyptic number.

51161916100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51161916100 is the 226190-th square number.

It is an amenable number.

51161916100 is an abundant number, since it is smaller than the sum of its proper divisors (59864350377).

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

51161916100 is an frugal number, since it uses more digits than its factorization.

51161916100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45252 (or 22626 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 31.

The spelling of 51161916100 in words is "fifty-one billion, one hundred sixty-one million, nine hundred sixteen thousand, one hundred".