516582825 has 48 divisors (see below), whose sum is σ = 986561856. Its totient is φ = 235724800.

The previous prime is 516582809. The next prime is 516582827. The reversal of 516582825 is 528285615.

It is not a de Polignac number, because 516582825 - 2⁴ = 516582809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (516582827) 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 47 ways as a sum of consecutive naturals, for example, 4392 + ... + 32441.

It is an arithmetic number, because the mean of its divisors is an integer number (20553372).

Almost surely, 2^516582825 is an apocalyptic number.

516582825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

516582825 is a deficient number, since it is larger than the sum of its proper divisors (469979031).

516582825 is a wasteful number, since it uses less digits than its factorization.

516582825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36874 (or 36869 counting only the distinct ones).

The product of its digits is 192000, while the sum is 42.

The square root of 516582825 is about 22728.4584827040. The cubic root of 516582825 is about 802.3798016810.

It can be divided in two parts, 5165 and 82825, that added together give a triangular number (87990 = T₄₁₉).

The spelling of 516582825 in words is "five hundred sixteen million, five hundred eighty-two thousand, eight hundred twenty-five".