516477819 has 32 divisors (see below), whose sum is σ = 812657664. Its totient is φ = 287642880.

The previous prime is 516477803. The next prime is 516477821. The reversal of 516477819 is 918774615.

It is not a de Polignac number, because 516477819 - 2⁴ = 516477803 is a prime.

It is a super-2 number, since 2×516477819² = 533498675037993522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (516477419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97374 + ... + 102540.

It is an arithmetic number, because the mean of its divisors is an integer number (25395552).

Almost surely, 2^516477819 is an apocalyptic number.

516477819 is a deficient number, since it is larger than the sum of its proper divisors (296179845).

516477819 is a wasteful number, since it uses less digits than its factorization.

516477819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5427.

The product of its digits is 423360, while the sum is 48.

The square root of 516477819 is about 22726.1483538236. The cubic root of 516477819 is about 802.3254313079.

The spelling of 516477819 in words is "five hundred sixteen million, four hundred seventy-seven thousand, eight hundred nineteen".