513131209 has 2 divisors, whose sum is σ = 513131210. Its totient is φ = 513131208.

The previous prime is 513131197. The next prime is 513131221. The reversal of 513131209 is 902131315.

It is a balanced prime because it is at equal distance from previous prime (513131197) and next prime (513131221).

It can be written as a sum of positive squares in only one way, i.e., 436183225 + 76947984 = 20885^2 + 8772^2 .

It is a cyclic number.

It is not a de Polignac number, because 513131209 - 2²¹ = 511034057 is a prime.

It is not a weakly prime, because it can be changed into another prime (513131239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256565604 + 256565605.

It is an arithmetic number, because the mean of its divisors is an integer number (256565605).

Almost surely, 2^513131209 is an apocalyptic number.

It is an amenable number.

513131209 is a deficient number, since it is larger than the sum of its proper divisors (1).

513131209 is an equidigital number, since it uses as much as digits as its factorization.

513131209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 513131209 is about 22652.3996300613. The cubic root of 513131209 is about 800.5887379824.

The spelling of 513131209 in words is "five hundred thirteen million, one hundred thirty-one thousand, two hundred nine".