516402315 has 72 divisors (see below), whose sum is σ = 1057532112. Its totient is φ = 231079680.

The previous prime is 516402283. The next prime is 516402317. The reversal of 516402315 is 513204615.

516402315 is a `hidden beast` number, since 5 + 1 + 640 + 2 + 3 + 15 = 666.

It is not a de Polignac number, because 516402315 - 2⁵ = 516402283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (516402317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80569 + ... + 86741.

It is an arithmetic number, because the mean of its divisors is an integer number (14687946).

Almost surely, 2^516402315 is an apocalyptic number.

516402315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

516402315 is an abundant number, since it is smaller than the sum of its proper divisors (541129797).

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

516402315 is a wasteful number, since it uses less digits than its factorization.

516402315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6221 (or 6205 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 516402315 is about 22724.4871229253. The cubic root of 516402315 is about 802.2863320285.

The spelling of 516402315 in words is "five hundred sixteen million, four hundred two thousand, three hundred fifteen".