516580152 has 32 divisors (see below), whose sum is σ = 1408855680. Its totient is φ = 156539360.

The previous prime is 516580121. The next prime is 516580157. The reversal of 516580152 is 251085615.

It is a super-4 number, since 4×516580152⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516580157) 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, 978108 + ... + 978635.

It is an arithmetic number, because the mean of its divisors is an integer number (44026740).

Almost surely, 2^516580152 is an apocalyptic number.

It is an amenable number.

516580152 is an abundant number, since it is smaller than the sum of its proper divisors (892275528).

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

516580152 is a wasteful number, since it uses less digits than its factorization.

516580152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956763 (or 1956759 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

The square root of 516580152 is about 22728.3996796959. The cubic root of 516580152 is about 802.3784177372.

The spelling of 516580152 in words is "five hundred sixteen million, five hundred eighty thousand, one hundred fifty-two".