515872319 has 2 divisors, whose sum is σ = 515872320. Its totient is φ = 515872318.

The previous prime is 515872243. The next prime is 515872321. The reversal of 515872319 is 913278515.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 515872319 - 2¹⁶ = 515806783 is a prime.

It is a super-2 number, since 2×515872319² = 532248499020875522, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 515872321, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (515872219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 257936159 + 257936160.

It is an arithmetic number, because the mean of its divisors is an integer number (257936160).

Almost surely, 2^515872319 is an apocalyptic number.

515872319 is a deficient number, since it is larger than the sum of its proper divisors (1).

515872319 is an equidigital number, since it uses as much as digits as its factorization.

515872319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 75600, while the sum is 41.

The square root of 515872319 is about 22712.8227880200. The cubic root of 515872319 is about 802.0117695509.

It can be divided in two parts, 5158 and 72319, that added together give a palindrome (77477).

The spelling of 515872319 in words is "five hundred fifteen million, eight hundred seventy-two thousand, three hundred nineteen".