516116313333252 has 72 divisors (see below), whose sum is σ = 1305771737018112. Its totient is φ = 171887911660800.

The previous prime is 516116313333251. The next prime is 516116313333253. The reversal of 516116313333252 is 252333313611615.

516116313333252 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 1 + 6 + 313 + 3 + 3 + 325 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (516116313333251) and next prime (516116313333253).

It is a junction number, because it is equal to n+sod(n) for n = 516116313333198 and 516116313333207.

It is not an unprimeable number, because it can be changed into a prime (516116313333251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252303477 + ... + 254340867.

It is an arithmetic number, because the mean of its divisors is an integer number (18135718569696).

Almost surely, 2^{516116313333252} is an apocalyptic number.

It is an amenable number.

516116313333252 is an abundant number, since it is smaller than the sum of its proper divisors (789655423684860).

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

516116313333252 is a wasteful number, since it uses less digits than its factorization.

516116313333252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043569 (or 2043564 counting only the distinct ones).

The product of its digits is 874800, while the sum is 45.

Adding to 516116313333252 its reverse (252333313611615), we get a palindrome (768449626944867).

The spelling of 516116313333252 in words is "five hundred sixteen trillion, one hundred sixteen billion, three hundred thirteen million, three hundred thirty-three thousand, two hundred fifty-two".