516889131 has 24 divisors (see below), whose sum is σ = 802104912. Its totient is φ = 294835200.

The previous prime is 516889117. The next prime is 516889169. The reversal of 516889131 is 131988615.

It is not a de Polignac number, because 516889131 - 2⁵ = 516889099 is a prime.

It is a super-2 number, since 2×516889131² = 534348747491870322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (516889181) 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 23 ways as a sum of consecutive naturals, for example, 35710 + ... + 48051.

It is an arithmetic number, because the mean of its divisors is an integer number (33421038).

Almost surely, 2^516889131 is an apocalyptic number.

516889131 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

516889131 is a deficient number, since it is larger than the sum of its proper divisors (285215781).

516889131 is a wasteful number, since it uses less digits than its factorization.

516889131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83803 (or 83792 counting only the distinct ones).

The product of its digits is 51840, while the sum is 42.

The square root of 516889131 is about 22735.1958645621. The cubic root of 516889131 is about 802.5383597894.

The spelling of 516889131 in words is "five hundred sixteen million, eight hundred eighty-nine thousand, one hundred thirty-one".