516095874 has 160 divisors (see below), whose sum is σ = 1395035136. Its totient is φ = 139501440.

The previous prime is 516095857. The next prime is 516095891. The reversal of 516095874 is 478590615.

516095874 is a `hidden beast` number, since 5 + 1 + 60 + 9 + 587 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (516095857) and next prime (516095891).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1863024 + ... + 1863300.

Almost surely, 2^516095874 is an apocalyptic number.

516095874 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 516095874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697517568).

516095874 is an abundant number, since it is smaller than the sum of its proper divisors (878939262).

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

516095874 is a wasteful number, since it uses less digits than its factorization.

516095874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 516095874 is about 22717.7435939400. The cubic root of 516095874 is about 802.1276043170.

The spelling of 516095874 in words is "five hundred sixteen million, ninety-five thousand, eight hundred seventy-four".