512620993 has 2 divisors, whose sum is σ = 512620994. Its totient is φ = 512620992.

The previous prime is 512620973. The next prime is 512621047. The reversal of 512620993 is 399026215.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 368908849 + 143712144 = 19207^2 + 11988^2 .

It is a cyclic number.

It is not a de Polignac number, because 512620993 - 2⁵ = 512620961 is a prime.

It is not a weakly prime, because it can be changed into another prime (512620973) 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 as a sum of consecutive naturals, namely, 256310496 + 256310497.

It is an arithmetic number, because the mean of its divisors is an integer number (256310497).

Almost surely, 2^512620993 is an apocalyptic number.

It is an amenable number.

512620993 is a deficient number, since it is larger than the sum of its proper divisors (1).

512620993 is an equidigital number, since it uses as much as digits as its factorization.

512620993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 512620993 is about 22641.1349759680. The cubic root of 512620993 is about 800.3233031804.

The spelling of 512620993 in words is "five hundred twelve million, six hundred twenty thousand, nine hundred ninety-three".