513313093 has 2 divisors, whose sum is σ = 513313094. Its totient is φ = 513313092.

The previous prime is 513313081. The next prime is 513313183. The reversal of 513313093 is 390313315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 403126084 + 110187009 = 20078^2 + 10497^2 .

It is a cyclic number.

It is not a de Polignac number, because 513313093 - 2⁵ = 513313061 is a prime.

It is a super-3 number, since 3×513313093³ (a number of 27 digits) contains 333 as substring.

It is equal to p_27019243 and since 513313093 and 27019243 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513313013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256656546 + 256656547.

It is an arithmetic number, because the mean of its divisors is an integer number (256656547).

Almost surely, 2^513313093 is an apocalyptic number.

It is an amenable number.

513313093 is a deficient number, since it is larger than the sum of its proper divisors (1).

513313093 is an equidigital number, since it uses as much as digits as its factorization.

513313093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3645, while the sum is 28.

The square root of 513313093 is about 22656.4139483723. The cubic root of 513313093 is about 800.6833187823.

The spelling of 513313093 in words is "five hundred thirteen million, three hundred thirteen thousand, ninety-three".