516347937 has 18 divisors (see below), whose sum is σ = 867605778. Its totient is φ = 295055712.

The previous prime is 516347917. The next prime is 516347939. The reversal of 516347937 is 739743615.

516347937 is a `hidden beast` number, since 5 + 1 + 634 + 7 + 9 + 3 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 457917201 + 58430736 = 21399^2 + 7644^2 .

It is not a de Polignac number, because 516347937 - 2¹⁸ = 516085793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 516347892 and 516347901.

It is not an unprimeable number, because it can be changed into a prime (516347939) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 584988 + ... + 585869.

It is an arithmetic number, because the mean of its divisors is an integer number (48200321).

Almost surely, 2^516347937 is an apocalyptic number.

It is an amenable number.

516347937 is a deficient number, since it is larger than the sum of its proper divisors (351257841).

516347937 is a wasteful number, since it uses less digits than its factorization.

516347937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170877 (or 1170867 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 516347937 is about 22723.2906287800. The cubic root of 516347937 is about 802.2581703567.

The spelling of 516347937 in words is "five hundred sixteen million, three hundred forty-seven thousand, nine hundred thirty-seven".