516330015516 has 120 divisors (see below), whose sum is σ = 1557593157120. Its totient is φ = 146090534688.

The previous prime is 516330015511. The next prime is 516330015521. The reversal of 516330015516 is 615510033615.

516330015516 is a `hidden beast` number, since 5 + 1 + 633 + 0 + 0 + 1 + 5 + 5 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (516330015511) and next prime (516330015521).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516330015511) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 871536 + ... + 1338743.

It is an arithmetic number, because the mean of its divisors is an integer number (12979942976).

Almost surely, 2^516330015516 is an apocalyptic number.

It is an amenable number.

516330015516 is an abundant number, since it is smaller than the sum of its proper divisors (1041263141604).

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

516330015516 is a wasteful number, since it uses less digits than its factorization.

516330015516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210405 (or 2210394 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 516330015516 in words is "five hundred sixteen billion, three hundred thirty million, fifteen thousand, five hundred sixteen".