516533616 has 120 divisors (see below), whose sum is σ = 1536300480. Its totient is φ = 161699328.

The previous prime is 516533603. The next prime is 516533617. The reversal of 516533616 is 616335615.

516533616 is a `hidden beast` number, since 5 + 1 + 6 + 5 + 33 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516533617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152841 + ... + 156183.

It is an arithmetic number, because the mean of its divisors is an integer number (12802504).

Almost surely, 2^516533616 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 516533616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768150240).

516533616 is an abundant number, since it is smaller than the sum of its proper divisors (1019766864).

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

516533616 is a wasteful number, since it uses less digits than its factorization.

516533616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423 (or 3414 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 516533616 is about 22727.3759154021. The cubic root of 516533616 is about 802.3543229907.

It can be divided in two parts, 5165 and 33616, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 516533616 in words is "five hundred sixteen million, five hundred thirty-three thousand, six hundred sixteen".