516551296 has 64 divisors (see below), whose sum is σ = 1087891200. Its totient is φ = 243809280.

The previous prime is 516551281. The next prime is 516551297. The reversal of 516551296 is 692155615.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×516551296³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (516551297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231466 + ... + 233686.

It is an arithmetic number, because the mean of its divisors is an integer number (16998300).

Almost surely, 2^516551296 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 516551296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543945600).

516551296 is an abundant number, since it is smaller than the sum of its proper divisors (571339904).

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

516551296 is a wasteful number, since it uses less digits than its factorization.

516551296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2325 counting only the distinct ones).

The product of its digits is 81000, while the sum is 40.

The square root of 516551296 is about 22727.7648703079. The cubic root of 516551296 is about 802.3634772594.

The spelling of 516551296 in words is "five hundred sixteen million, five hundred fifty-one thousand, two hundred ninety-six".