513312053 has 2 divisors, whose sum is σ = 513312054. Its totient is φ = 513312052.

The previous prime is 513312017. The next prime is 513312061. The reversal of 513312053 is 350213315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 508637809 + 4674244 = 22553^2 + 2162^2 .

It is a cyclic number.

It is not a de Polignac number, because 513312053 - 2²⁶ = 446203189 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513312013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256656026 + 256656027.

It is an arithmetic number, because the mean of its divisors is an integer number (256656027).

Almost surely, 2^513312053 is an apocalyptic number.

It is an amenable number.

513312053 is a deficient number, since it is larger than the sum of its proper divisors (1).

513312053 is an equidigital number, since it uses as much as digits as its factorization.

513312053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 513312053 is about 22656.3909968026. The cubic root of 513312053 is about 800.6827780394.

Adding to 513312053 its reverse (350213315), we get a palindrome (863525368).

The spelling of 513312053 in words is "five hundred thirteen million, three hundred twelve thousand, fifty-three".