510312321 has 6 divisors (see below), whose sum is σ = 737117810. Its totient is φ = 340208208.

The previous prime is 510312311. The next prime is 510312331. The reversal of 510312321 is 123213015.

It is an interprime number because it is at equal distance from previous prime (510312311) and next prime (510312331).

It can be written as a sum of positive squares in only one way, i.e., 497780721 + 12531600 = 22311^2 + 3540^2 .

It is not a de Polignac number, because 510312321 - 2⁷ = 510312193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 510312294 and 510312303.

It is not an unprimeable number, because it can be changed into a prime (510312311) 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 5 ways as a sum of consecutive naturals, for example, 28350676 + ... + 28350693.

Almost surely, 2^510312321 is an apocalyptic number.

It is an amenable number.

510312321 is a deficient number, since it is larger than the sum of its proper divisors (226805489).

510312321 is a wasteful number, since it uses less digits than its factorization.

510312321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56701375 (or 56701372 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 510312321 is about 22590.0934261016. The cubic root of 510312321 is about 799.1200329482.

Adding to 510312321 its reverse (123213015), we get a palindrome (633525336).

It can be divided in two parts, 5103 and 12321, that added together give a square (17424 = 132²).

The spelling of 510312321 in words is "five hundred ten million, three hundred twelve thousand, three hundred twenty-one".