513205157 has 2 divisors, whose sum is σ = 513205158. Its totient is φ = 513205156.

The previous prime is 513205153. The next prime is 513205169. The reversal of 513205157 is 751502315.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 500237956 + 12967201 = 22366^2 + 3601^2 .

It is a cyclic number.

It is not a de Polignac number, because 513205157 - 2² = 513205153 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513205153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256602578 + 256602579.

It is an arithmetic number, because the mean of its divisors is an integer number (256602579).

Almost surely, 2^513205157 is an apocalyptic number.

It is an amenable number.

513205157 is a deficient number, since it is larger than the sum of its proper divisors (1).

513205157 is an equidigital number, since it uses as much as digits as its factorization.

513205157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5250, while the sum is 29.

The square root of 513205157 is about 22654.0318045155. The cubic root of 513205157 is about 800.6271940935.

The spelling of 513205157 in words is "five hundred thirteen million, two hundred five thousand, one hundred fifty-seven".