51509032704 has 108 divisors (see below), whose sum is σ = 154013916056. Its totient is φ = 17169656832.

The previous prime is 51509032681. The next prime is 51509032709. The reversal of 51509032704 is 40723090515.

51509032704 is a `hidden beast` number, since 51 + 509 + 0 + 32 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51509032709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351799 + ... + 476214.

Almost surely, 2^51509032704 is an apocalyptic number.

51509032704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

51509032704 is an abundant number, since it is smaller than the sum of its proper divisors (102504883352).

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

51509032704 is an frugal number, since it uses more digits than its factorization.

51509032704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828044 (or 828018 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 51509032704 in words is "fifty-one billion, five hundred nine million, thirty-two thousand, seven hundred four".