513033397 has 2 divisors, whose sum is σ = 513033398. Its totient is φ = 513033396.

The previous prime is 513033371. The next prime is 513033407. The reversal of 513033397 is 793330315.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 294259716 + 218773681 = 17154^2 + 14791^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513033397 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513033197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256516698 + 256516699.

It is an arithmetic number, because the mean of its divisors is an integer number (256516699).

Almost surely, 2^513033397 is an apocalyptic number.

It is an amenable number.

513033397 is a deficient number, since it is larger than the sum of its proper divisors (1).

513033397 is an equidigital number, since it uses as much as digits as its factorization.

513033397 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25515, while the sum is 34.

The square root of 513033397 is about 22650.2405505990. The cubic root of 513033397 is about 800.5378658985.

The spelling of 513033397 in words is "five hundred thirteen million, thirty-three thousand, three hundred ninety-seven".