512512993 has 2 divisors, whose sum is σ = 512512994. Its totient is φ = 512512992.

The previous prime is 512512981. The next prime is 512513039. The reversal of 512512993 is 399215215.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 451860049 + 60652944 = 21257^2 + 7788^2 .

It is a cyclic number.

It is not a de Polignac number, because 512512993 - 2¹³ = 512504801 is a prime.

It is not a weakly prime, because it can be changed into another prime (512512943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256256496 + 256256497.

It is an arithmetic number, because the mean of its divisors is an integer number (256256497).

Almost surely, 2^512512993 is an apocalyptic number.

It is an amenable number.

512512993 is a deficient number, since it is larger than the sum of its proper divisors (1).

512512993 is an equidigital number, since it uses as much as digits as its factorization.

512512993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24300, while the sum is 37.

The square root of 512512993 is about 22638.7498108884. The cubic root of 512512993 is about 800.2670946698.

The spelling of 512512993 in words is "five hundred twelve million, five hundred twelve thousand, nine hundred ninety-three".