516379752 has 64 divisors (see below), whose sum is σ = 1639305600. Its totient is φ = 147536640.

The previous prime is 516379697. The next prime is 516379781. The reversal of 516379752 is 257973615.

516379752 is a `hidden beast` number, since 5 + 1 + 637 + 9 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 516379698 and 516379707.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169249 + ... + 172272.

It is an arithmetic number, because the mean of its divisors is an integer number (25614150).

Almost surely, 2^516379752 is an apocalyptic number.

It is an amenable number.

516379752 is an abundant number, since it is smaller than the sum of its proper divisors (1122925848).

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

516379752 is a wasteful number, since it uses less digits than its factorization.

516379752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341543 (or 341533 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 516379752 is about 22723.9906706547. The cubic root of 516379752 is about 802.2746471789.

The spelling of 516379752 in words is "five hundred sixteen million, three hundred seventy-nine thousand, seven hundred fifty-two".