516261162615 has 128 divisors (see below), whose sum is σ = 974278305792. Its totient is φ = 230885867520.

The previous prime is 516261162587. The next prime is 516261162617.

516261162615 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 516261162615 - 2⁶ = 516261162551 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516261162617) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15850627 + ... + 15883163.

It is an arithmetic number, because the mean of its divisors is an integer number (7611549264).

Almost surely, 2^516261162615 is an apocalyptic number.

516261162615 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

516261162615 is a deficient number, since it is larger than the sum of its proper divisors (458017143177).

516261162615 is a wasteful number, since it uses less digits than its factorization.

516261162615 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32729.

The product of its digits is 129600, while the sum is 42.

It can be divided in two parts, 516261 and 162615, that added together give a palindrome (678876).

The spelling of 516261162615 in words is "five hundred sixteen billion, two hundred sixty-one million, one hundred sixty-two thousand, six hundred fifteen".