516057152 has 28 divisors (see below), whose sum is σ = 1102825836. Its totient is φ = 238179840.

The previous prime is 516057079. The next prime is 516057163. The reversal of 516057152 is 251750615.

It can be written as a sum of positive squares in 2 ways, for example, as 247621696 + 268435456 = 15736^2 + 16384^2 .

It is a super-2 number, since 2×516057152² = 532629968260702208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 309299 + ... + 310962.

It is an arithmetic number, because the mean of its divisors is an integer number (39386637).

Almost surely, 2^516057152 is an apocalyptic number.

516057152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

516057152 is an abundant number, since it is smaller than the sum of its proper divisors (586768684).

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

516057152 is a wasteful number, since it uses less digits than its factorization.

516057152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620286 (or 620276 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 32.

The square root of 516057152 is about 22716.8913366244. The cubic root of 516057152 is about 802.1075429528.

The spelling of 516057152 in words is "five hundred sixteen million, fifty-seven thousand, one hundred fifty-two".