513211297 has 2 divisors, whose sum is σ = 513211298. Its totient is φ = 513211296.

The previous prime is 513211273. The next prime is 513211313. The reversal of 513211297 is 792112315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 457917201 + 55294096 = 21399^2 + 7436^2 .

It is a cyclic number.

It is not a de Polignac number, because 513211297 - 2¹⁵ = 513178529 is a prime.

It is equal to p_27014188 and since 513211297 and 27014188 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (513211597) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256605648 + 256605649.

It is an arithmetic number, because the mean of its divisors is an integer number (256605649).

Almost surely, 2^513211297 is an apocalyptic number.

It is an amenable number.

513211297 is a deficient number, since it is larger than the sum of its proper divisors (1).

513211297 is an equidigital number, since it uses as much as digits as its factorization.

513211297 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3780, while the sum is 31.

The square root of 513211297 is about 22654.1673208264. The cubic root of 513211297 is about 800.6303869890.

The spelling of 513211297 in words is "five hundred thirteen million, two hundred eleven thousand, two hundred ninety-seven".