51106051214256 has 40 divisors (see below), whose sum is σ = 132814528326144. Its totient is φ = 16933342315840.

The previous prime is 51106051214209. The next prime is 51106051214371. The reversal of 51106051214256 is 65241215060115.

51106051214256 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 2×51106051214256² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3187744680 + ... + 3187760711.

Almost surely, 2^{51106051214256} is an apocalyptic number.

It is an amenable number.

51106051214256 is an abundant number, since it is smaller than the sum of its proper divisors (81708477111888).

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

51106051214256 is a wasteful number, since it uses less digits than its factorization.

51106051214256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6375505569 (or 6375505563 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The spelling of 51106051214256 in words is "fifty-one trillion, one hundred six billion, fifty-one million, two hundred fourteen thousand, two hundred fifty-six".