516104401615 has 32 divisors (see below), whose sum is σ = 678045349440. Its totient is φ = 374006476800.

The previous prime is 516104401597. The next prime is 516104401619.

516104401615 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 516104401615 - 2²⁹ = 515567530703 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516104401619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55246845 + ... + 55256185.

It is an arithmetic number, because the mean of its divisors is an integer number (21188917170).

Almost surely, 2^516104401615 is an apocalyptic number.

516104401615 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

516104401615 is a deficient number, since it is larger than the sum of its proper divisors (161940947825).

516104401615 is a wasteful number, since it uses less digits than its factorization.

516104401615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12843.

The product of its (nonzero) digits is 14400, while the sum is 34.

It can be divided in two parts, 516104 and 401615, that added together give a palindrome (917719).

The spelling of 516104401615 in words is "five hundred sixteen billion, one hundred four million, four hundred one thousand, six hundred fifteen".