516063120 has 160 divisors (see below), whose sum is σ = 1687392000. Its totient is φ = 130271232.

The previous prime is 516063113. The next prime is 516063127. The reversal of 516063120 is 21360615.

It is an interprime number because it is at equal distance from previous prime (516063113) and next prime (516063127).

It is a super-2 number, since 2×516063120² = 532642287648268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (516063127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368181 + ... + 369579.

It is an arithmetic number, because the mean of its divisors is an integer number (10546200).

Almost surely, 2^516063120 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 516063120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843696000).

516063120 is an abundant number, since it is smaller than the sum of its proper divisors (1171328880).

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

516063120 is a wasteful number, since it uses less digits than its factorization.

516063120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 516063120 is about 22717.0226922456. The cubic root of 516063120 is about 802.1106349613.

The spelling of 516063120 in words is "five hundred sixteen million, sixty-three thousand, one hundred twenty".