516952296 has 96 divisors (see below), whose sum is σ = 1604116800. Its totient is φ = 147329280.

The previous prime is 516952291. The next prime is 516952307. The reversal of 516952296 is 692259615.

It is a happy number.

It is a super-3 number, since 3×516952296³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (516952291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246420 + ... + 248508.

It is an arithmetic number, because the mean of its divisors is an integer number (16709550).

Almost surely, 2^516952296 is an apocalyptic number.

516952296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516952296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802058400).

516952296 is an abundant number, since it is smaller than the sum of its proper divisors (1087164504).

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

516952296 is a wasteful number, since it uses less digits than its factorization.

516952296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2592 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 516952296 is about 22736.5849678442. The cubic root of 516952296 is about 802.5710491146.

The spelling of 516952296 in words is "five hundred sixteen million, nine hundred fifty-two thousand, two hundred ninety-six".