51016444461015 has 32 divisors (see below), whose sum is σ = 92117467123200. Its totient is φ = 23882306286720.

The previous prime is 51016444461011. The next prime is 51016444461023.

It is a happy number.

51016444461015 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51016444461015 - 2² = 51016444461011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51016444461011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5330867155 + ... + 5330876724.

It is an arithmetic number, because the mean of its divisors is an integer number (2878670847600).

Almost surely, 2^{51016444461015} is an apocalyptic number.

51016444461015 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51016444461015 is a deficient number, since it is larger than the sum of its proper divisors (41101022662185).

51016444461015 is a wasteful number, since it uses less digits than its factorization.

51016444461015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10661743927.

The product of its (nonzero) digits is 230400, while the sum is 42.

It can be divided in two parts, 5101644 and 4461015, that added together give a palindrome (9562659).

The spelling of 51016444461015 in words is "fifty-one trillion, sixteen billion, four hundred forty-four million, four hundred sixty-one thousand, fifteen".