51509023104 has 512 divisors, whose sum is σ = 180752486400. Its totient is φ = 12590899200.

The previous prime is 51509023103. The next prime is 51509023147. The reversal of 51509023104 is 40132090515.

51509023104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51509023104² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51509023103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155616219 + ... + 155616549.

It is an arithmetic number, because the mean of its divisors is an integer number (353032200).

Almost surely, 2^51509023104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51509023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90376243200).

51509023104 is an abundant number, since it is smaller than the sum of its proper divisors (129243463296).

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

51509023104 is a wasteful number, since it uses less digits than its factorization.

51509023104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 51509023104 in words is "fifty-one billion, five hundred nine million, twenty-three thousand, one hundred four".