516913488 has 280 divisors, whose sum is σ = 1851909248. Its totient is φ = 136048896.

The previous prime is 516913457. The next prime is 516913519. The reversal of 516913488 is 884319615.

516913488 is a `hidden beast` number, since 5 + 169 + 1 + 3 + 488 = 666.

It is an interprime number because it is at equal distance from previous prime (516913457) and next prime (516913519).

It is a super-2 number, since 2×516913488² = 534399108152652288, which contains 22 as substring.

Its product of digits (207360) is a multiple of the sum of its prime divisors (512).

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 55 ways as a sum of consecutive naturals, for example, 1061181 + ... + 1061667.

Almost surely, 2^516913488 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 516913488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925954624).

516913488 is an abundant number, since it is smaller than the sum of its proper divisors (1334995760).

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

516913488 is a wasteful number, since it uses less digits than its factorization.

516913488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 512 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 516913488 is about 22735.7315255085. The cubic root of 516913488 is about 802.5509654068.

The spelling of 516913488 in words is "five hundred sixteen million, nine hundred thirteen thousand, four hundred eighty-eight".