516253216104 has 48 divisors (see below), whose sum is σ = 1401672619620. Its totient is φ = 171655257600.

The previous prime is 516253216067. The next prime is 516253216109. The reversal of 516253216104 is 401612352615.

516253216104 is a `hidden beast` number, since 5 + 1 + 6 + 2 + 5 + 32 + 1 + 610 + 4 = 666.

516253216104 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 513512693604 + 2740522500 = 716598^2 + 52350^2 .

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

It is not an unprimeable number, because it can be changed into a prime (516253216109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8911507 + ... + 8969250.

Almost surely, 2^516253216104 is an apocalyptic number.

It is an amenable number.

516253216104 is an abundant number, since it is smaller than the sum of its proper divisors (885419403516).

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

516253216104 is a wasteful number, since it uses less digits than its factorization.

516253216104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17881170 (or 17881163 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 516253216104 its reverse (401612352615), we get a palindrome (917865568719).

The spelling of 516253216104 in words is "five hundred sixteen billion, two hundred fifty-three million, two hundred sixteen thousand, one hundred four".