516343256 has 64 divisors (see below), whose sum is σ = 1140894720. Its totient is φ = 215982720.

The previous prime is 516343241. The next prime is 516343271. The reversal of 516343256 is 652343615.

It is an interprime number because it is at equal distance from previous prime (516343241) and next prime (516343271).

It is a super-2 number, since 2×516343256² = 533220716033363072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597881 + ... + 598743.

It is an arithmetic number, because the mean of its divisors is an integer number (17826480).

Almost surely, 2^516343256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516343256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570447360).

516343256 is an abundant number, since it is smaller than the sum of its proper divisors (624551464).

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

516343256 is a wasteful number, since it uses less digits than its factorization.

516343256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1412 counting only the distinct ones).

The product of its digits is 64800, while the sum is 35.

The square root of 516343256 is about 22723.1876284997. The cubic root of 516343256 is about 802.2557460341.

The spelling of 516343256 in words is "five hundred sixteen million, three hundred forty-three thousand, two hundred fifty-six".