510080313 has 16 divisors (see below), whose sum is σ = 691159616. Its totient is φ = 334540800.

The previous prime is 510080309. The next prime is 510080317. The reversal of 510080313 is 313080015.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (510080309) and next prime (510080317).

It is not a de Polignac number, because 510080313 - 2² = 510080309 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 510080313.

It is not an unprimeable number, because it can be changed into a prime (510080317) 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 15 ways as a sum of consecutive naturals, for example, 240345 + ... + 242457.

It is an arithmetic number, because the mean of its divisors is an integer number (43197476).

Almost surely, 2^510080313 is an apocalyptic number.

It is an amenable number.

510080313 is a deficient number, since it is larger than the sum of its proper divisors (181079303).

510080313 is a wasteful number, since it uses less digits than its factorization.

510080313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 510080313 is about 22584.9576709809. The cubic root of 510080313 is about 798.9989108189.

The spelling of 510080313 in words is "five hundred ten million, eighty thousand, three hundred thirteen".