516105315 has 96 divisors (see below), whose sum is σ = 1020427200. Its totient is φ = 239016960.

The previous prime is 516105313. The next prime is 516105347. The reversal of 516105315 is 513501615.

It is not a de Polignac number, because 516105315 - 2¹ = 516105313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (516105313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2253621 + ... + 2253849.

It is an arithmetic number, because the mean of its divisors is an integer number (10629450).

Almost surely, 2^516105315 is an apocalyptic number.

516105315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

516105315 is a deficient number, since it is larger than the sum of its proper divisors (504321885).

516105315 is a wasteful number, since it uses less digits than its factorization.

516105315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 516105315 is about 22717.9513821119. The cubic root of 516105315 is about 802.1324954241.

The spelling of 516105315 in words is "five hundred sixteen million, one hundred five thousand, three hundred fifteen".