516803508 has 72 divisors (see below), whose sum is σ = 1414858536. Its totient is φ = 158112000.

The previous prime is 516803503. The next prime is 516803549. The reversal of 516803508 is 805308615.

It can be written as a sum of positive squares in 4 ways, for example, as 2965284 + 513838224 = 1722^2 + 22668^2 .

It is a super-2 number, since 2×516803508² = 534171731762212128, which contains 22 as substring.

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 (516803503) 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, 81658 + ... + 87758.

It is an arithmetic number, because the mean of its divisors is an integer number (19650813).

Almost surely, 2^516803508 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 516803508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707429268).

516803508 is an abundant number, since it is smaller than the sum of its proper divisors (898055028).

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

516803508 is a wasteful number, since it uses less digits than its factorization.

516803508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6305 (or 6300 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 516803508 is about 22733.3127370386. The cubic root of 516803508 is about 802.4940436860.

The spelling of 516803508 in words is "five hundred sixteen million, eight hundred three thousand, five hundred eight".