516829032 has 64 divisors (see below), whose sum is σ = 1511208000. Its totient is φ = 163207872.

The previous prime is 516829031. The next prime is 516829057. The reversal of 516829032 is 230928615.

It is a super-2 number, since 2×516829032² = 534224496636114048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (516829031) 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 15 ways as a sum of consecutive naturals, for example, 58863 + ... + 67070.

It is an arithmetic number, because the mean of its divisors is an integer number (23612625).

Almost surely, 2^516829032 is an apocalyptic number.

It is an amenable number.

516829032 is an abundant number, since it is smaller than the sum of its proper divisors (994378968).

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

516829032 is a wasteful number, since it uses less digits than its factorization.

516829032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125967 (or 125957 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 516829032 is about 22733.8741089151. The cubic root of 516829032 is about 802.5072547165.

The spelling of 516829032 in words is "five hundred sixteen million, eight hundred twenty-nine thousand, thirty-two".