51056411465015 has 16 divisors (see below), whose sum is σ = 68467666641696. Its totient is φ = 36226278643200.

The previous prime is 51056411464999. The next prime is 51056411465027.

It is a happy number.

51056411465015 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51056411465015 - 2⁴ = 51056411464999 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11320709822 + ... + 11320714331.

It is an arithmetic number, because the mean of its divisors is an integer number (4279229165106).

Almost surely, 2^{51056411465015} is an apocalyptic number.

51056411465015 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51056411465015 is a deficient number, since it is larger than the sum of its proper divisors (17411255176681).

51056411465015 is a wasteful number, since it uses less digits than its factorization.

51056411465015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22641424210.

The product of its (nonzero) digits is 360000, while the sum is 44.

The spelling of 51056411465015 in words is "fifty-one trillion, fifty-six billion, four hundred eleven million, four hundred sixty-five thousand, fifteen".