257199013 has 2 divisors, whose sum is σ = 257199014. Its totient is φ = 257199012.

The previous prime is 257198987. The next prime is 257199037. The reversal of 257199013 is 310991752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214388164 + 42810849 = 14642^2 + 6543^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257199013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257199043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128599506 + 128599507.

It is an arithmetic number, because the mean of its divisors is an integer number (128599507).

Almost surely, 2^257199013 is an apocalyptic number.

It is an amenable number.

257199013 is a deficient number, since it is larger than the sum of its proper divisors (1).

257199013 is an equidigital number, since it uses as much as digits as its factorization.

257199013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 257199013 is about 16037.4253856409. The cubic root of 257199013 is about 635.9501867886.

The spelling of 257199013 in words is "two hundred fifty-seven million, one hundred ninety-nine thousand, thirteen".