8513400257 has 2 divisors, whose sum is σ = 8513400258. Its totient is φ = 8513400256.

The previous prime is 8513400239. The next prime is 8513400299. The reversal of 8513400257 is 7520043158.

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., 7700238001 + 813162256 = 87751^2 + 28516^2 .

It is a cyclic number.

It is not a de Polignac number, because 8513400257 - 2¹⁴ = 8513383873 is a prime.

It is not a weakly prime, because it can be changed into another prime (8513400227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4256700128 + 4256700129.

It is an arithmetic number, because the mean of its divisors is an integer number (4256700129).

Almost surely, 2^8513400257 is an apocalyptic number.

It is an amenable number.

8513400257 is a deficient number, since it is larger than the sum of its proper divisors (1).

8513400257 is an equidigital number, since it uses as much as digits as its factorization.

8513400257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 8513400257 is about 92268.0890503320. The cubic root of 8513400257 is about 2041.8994433144.

The spelling of 8513400257 in words is "eight billion, five hundred thirteen million, four hundred thousand, two hundred fifty-seven".