51413265792 has 384 divisors, whose sum is σ = 175676117760. Its totient is φ = 14127353856.

The previous prime is 51413265791. The next prime is 51413265829. The reversal of 51413265792 is 29756231415.

51413265792 is a `hidden beast` number, since 5 + 1 + 41 + 32 + 6 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51413265791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23231278 + ... + 23233490.

It is an arithmetic number, because the mean of its divisors is an integer number (457489890).

Almost surely, 2^51413265792 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 51413265792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87838058880).

51413265792 is an abundant number, since it is smaller than the sum of its proper divisors (124262851968).

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

51413265792 is a wasteful number, since it uses less digits than its factorization.

51413265792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2335 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 51413265792 in words is "fifty-one billion, four hundred thirteen million, two hundred sixty-five thousand, seven hundred ninety-two".