516442536 has 48 divisors (see below), whose sum is σ = 1400136660. Its totient is φ = 171970560.

The previous prime is 516442523. The next prime is 516442543. The reversal of 516442536 is 635244615.

516442536 is a `hidden beast` number, since 5 + 1 + 644 + 2 + 5 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 506520036 + 9922500 = 22506^2 + 3150^2 .

It is a super-2 number, since 2×516442536² = 533425785980222592, which contains 22 as substring.

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 516442536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79906 + ... + 86126.

Almost surely, 2^516442536 is an apocalyptic number.

It is an amenable number.

516442536 is an abundant number, since it is smaller than the sum of its proper divisors (883694124).

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

516442536 is a wasteful number, since it uses less digits than its factorization.

516442536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7386 (or 7379 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 516442536 is about 22725.3720761619. The cubic root of 516442536 is about 802.3071606989.

The spelling of 516442536 in words is "five hundred sixteen million, four hundred forty-two thousand, five hundred thirty-six".