513105337 has 2 divisors, whose sum is σ = 513105338. Its totient is φ = 513105336.

The previous prime is 513105331. The next prime is 513105379. The reversal of 513105337 is 733501315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 430313536 + 82791801 = 20744^2 + 9099^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513105337 is a prime.

It is not a weakly prime, because it can be changed into another prime (513105331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256552668 + 256552669.

It is an arithmetic number, because the mean of its divisors is an integer number (256552669).

Almost surely, 2^513105337 is an apocalyptic number.

It is an amenable number.

513105337 is a deficient number, since it is larger than the sum of its proper divisors (1).

513105337 is an equidigital number, since it uses as much as digits as its factorization.

513105337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4725, while the sum is 28.

The square root of 513105337 is about 22651.8285575359. The cubic root of 513105337 is about 800.5752825675.

The spelling of 513105337 in words is "five hundred thirteen million, one hundred five thousand, three hundred thirty-seven".