516820395 has 64 divisors (see below), whose sum is σ = 1038643200. Its totient is φ = 218058624.

The previous prime is 516820393. The next prime is 516820427. The reversal of 516820395 is 593028615.

It is not a de Polignac number, because 516820395 - 2¹ = 516820393 is a prime.

It is a super-3 number, since 3×516820395³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (516820393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63022 + ... + 70748.

It is an arithmetic number, because the mean of its divisors is an integer number (16228800).

Almost surely, 2^516820395 is an apocalyptic number.

516820395 is an abundant number, since it is smaller than the sum of its proper divisors (521822805).

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

516820395 is a wasteful number, since it uses less digits than its factorization.

516820395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7769 (or 7755 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 516820395 is about 22733.6841492971. The cubic root of 516820395 is about 802.5027843189.

The spelling of 516820395 in words is "five hundred sixteen million, eight hundred twenty thousand, three hundred ninety-five".