51426461510100 has 54 divisors (see below), whose sum is σ = 161193386580590. Its totient is φ = 13713723069120.

The previous prime is 51426461510089. The next prime is 51426461510117. The reversal of 51426461510100 is 101516462415.

51426461510100 is a `hidden beast` number, since 5 + 1 + 4 + 2 + 646 + 1 + 5 + 1 + 0 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11604732791184 + 39821728718916 = 3406572^2 + 6310446^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28570255495 + ... + 28570257294.

Almost surely, 2^{51426461510100} is an apocalyptic number.

51426461510100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51426461510100 is an abundant number, since it is smaller than the sum of its proper divisors (109766925070490).

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

51426461510100 is a wasteful number, since it uses less digits than its factorization.

51426461510100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57140512809 (or 57140512799 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 51426461510100 its reverse (101516462415), we get a palindrome (51527977972515).

The spelling of 51426461510100 in words is "fifty-one trillion, four hundred twenty-six billion, four hundred sixty-one million, five hundred ten thousand, one hundred".