516653408 has 36 divisors (see below), whose sum is σ = 1034347860. Its totient is φ = 254033280.

The previous prime is 516653407. The next prime is 516653413. The reversal of 516653408 is 804356615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516653407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 116903 + ... + 121241.

It is an arithmetic number, because the mean of its divisors is an integer number (28731885).

Almost surely, 2^516653408 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 516653408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517173930).

516653408 is an abundant number, since it is smaller than the sum of its proper divisors (517694452).

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

516653408 is an equidigital number, since it uses as much as digits as its factorization.

516653408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 516653408 is about 22730.0111746563. The cubic root of 516653408 is about 802.4163442525.

The spelling of 516653408 in words is "five hundred sixteen million, six hundred fifty-three thousand, four hundred eight".