513262331 has 2 divisors, whose sum is σ = 513262332. Its totient is φ = 513262330.

The previous prime is 513262307. The next prime is 513262339. The reversal of 513262331 is 133262315.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 513262331 - 2¹⁴ = 513245947 is a prime.

It is a super-2 number, since 2×513262331² = 526876440847107122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 513262331.

It is not a weakly prime, because it can be changed into another prime (513262339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256631165 + 256631166.

It is an arithmetic number, because the mean of its divisors is an integer number (256631166).

Almost surely, 2^513262331 is an apocalyptic number.

513262331 is a deficient number, since it is larger than the sum of its proper divisors (1).

513262331 is an equidigital number, since it uses as much as digits as its factorization.

513262331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3240, while the sum is 26.

The square root of 513262331 is about 22655.2936639541. The cubic root of 513262331 is about 800.6569244776.

The spelling of 513262331 in words is "five hundred thirteen million, two hundred sixty-two thousand, three hundred thirty-one".