51431410304 has 64 divisors (see below), whose sum is σ = 104472494280. Its totient is φ = 25211596800.

The previous prime is 51431410301. The next prime is 51431410351. The reversal of 51431410304 is 40301413415.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51369315904 + 62094400 = 226648^2 + 7880^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (51431410301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14522774 + ... + 14526314.

Almost surely, 2^51431410304 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 51431410304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52236247140).

51431410304 is an abundant number, since it is smaller than the sum of its proper divisors (53041083976).

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

51431410304 is a wasteful number, since it uses less digits than its factorization.

51431410304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5749 (or 5737 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 51431410304 its reverse (40301413415), we get a palindrome (91732823719).

The spelling of 51431410304 in words is "fifty-one billion, four hundred thirty-one million, four hundred ten thousand, three hundred four".