516514424106125 has 32 divisors (see below), whose sum is σ = 651948387742080. Its totient is φ = 408508806921600.

The previous prime is 516514424106113. The next prime is 516514424106133. The reversal of 516514424106125 is 521601424415615.

It is not a de Polignac number, because 516514424106125 - 2⁶ = 516514424106061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 516514424106125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72550034 + ... + 79350716.

It is an arithmetic number, because the mean of its divisors is an integer number (20373387116940).

Almost surely, 2^{516514424106125} is an apocalyptic number.

It is an amenable number.

516514424106125 is a deficient number, since it is larger than the sum of its proper divisors (135433963635955).

516514424106125 is an equidigital number, since it uses as much as digits as its factorization.

516514424106125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6807614 (or 6807604 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 47.

The spelling of 516514424106125 in words is "five hundred sixteen trillion, five hundred fourteen billion, four hundred twenty-four million, one hundred six thousand, one hundred twenty-five".