513205457 has 2 divisors, whose sum is σ = 513205458. Its totient is φ = 513205456.

The previous prime is 513205411. The next prime is 513205471. The reversal of 513205457 is 754502315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 468462736 + 44742721 = 21644^2 + 6689^2 .

It is a cyclic number.

It is not a de Polignac number, because 513205457 - 2¹² = 513201361 is a prime.

It is not a weakly prime, because it can be changed into another prime (513205477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256602728 + 256602729.

It is an arithmetic number, because the mean of its divisors is an integer number (256602729).

Almost surely, 2^513205457 is an apocalyptic number.

It is an amenable number.

513205457 is a deficient number, since it is larger than the sum of its proper divisors (1).

513205457 is an equidigital number, since it uses as much as digits as its factorization.

513205457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 513205457 is about 22654.0384258525. The cubic root of 513205457 is about 800.6273500987.

The spelling of 513205457 in words is "five hundred thirteen million, two hundred five thousand, four hundred fifty-seven".