51056461256130 has 192 divisors, whose sum is σ = 145291113676800. Its totient is φ = 12336666207360.

The previous prime is 51056461256083. The next prime is 51056461256131. The reversal of 51056461256130 is 3165216465015.

51056461256130 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 6 + 4 + 6 + 1 + 25 + 613 + 0 = 666.

51056461256130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (51056461256131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 397798027 + ... + 397926353.

It is an arithmetic number, because the mean of its divisors is an integer number (756724550400).

Almost surely, 2^{51056461256130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51056461256130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72645556838400).

51056461256130 is an abundant number, since it is smaller than the sum of its proper divisors (94234652420670).

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

51056461256130 is a wasteful number, since it uses less digits than its factorization.

51056461256130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129669 (or 129666 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 51056461256130 in words is "fifty-one trillion, fifty-six billion, four hundred sixty-one million, two hundred fifty-six thousand, one hundred thirty".