516052656 has 120 divisors (see below), whose sum is σ = 1722389760. Its totient is φ = 141026688.

The previous prime is 516052643. The next prime is 516052661. The reversal of 516052656 is 656250615.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 516052656.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12055 + ... + 34313.

It is an arithmetic number, because the mean of its divisors is an integer number (14353248).

Almost surely, 2^516052656 is an apocalyptic number.

516052656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516052656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861194880).

516052656 is an abundant number, since it is smaller than the sum of its proper divisors (1206337104).

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

516052656 is a wasteful number, since it uses less digits than its factorization.

516052656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22303 (or 22294 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 516052656 is about 22716.7923792071. The cubic root of 516052656 is about 802.1052135687.

The spelling of 516052656 in words is "five hundred sixteen million, fifty-two thousand, six hundred fifty-six".