513131197 has 2 divisors, whose sum is σ = 513131198. Its totient is φ = 513131196.

The previous prime is 513131131. The next prime is 513131209. The reversal of 513131197 is 791131315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 461132676 + 51998521 = 21474^2 + 7211^2 .

It is a cyclic number.

It is not a de Polignac number, because 513131197 - 2¹⁵ = 513098429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513131497) 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, 256565598 + 256565599.

It is an arithmetic number, because the mean of its divisors is an integer number (256565599).

Almost surely, 2^513131197 is an apocalyptic number.

It is an amenable number.

513131197 is a deficient number, since it is larger than the sum of its proper divisors (1).

513131197 is an equidigital number, since it uses as much as digits as its factorization.

513131197 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2835, while the sum is 31.

The square root of 513131197 is about 22652.3993651887. The cubic root of 513131197 is about 800.5887317416.

The spelling of 513131197 in words is "five hundred thirteen million, one hundred thirty-one thousand, one hundred ninety-seven".