Search a number
-
+
313151257 is a prime number
BaseRepresentation
bin10010101010100…
…100111100011001
3210211020201202201
4102222210330121
51120131320012
651023530201
710521512266
oct2252447431
9724221681
10313151257
111508471a1
1288a59961
134cb53b03
142d83826d
151c75a857
hex12aa4f19

313151257 has 2 divisors, whose sum is σ = 313151258. Its totient is φ = 313151256.

The previous prime is 313151231. The next prime is 313151261. The reversal of 313151257 is 752151313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312971481 + 179776 = 17691^2 + 424^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313151257 is a prime.

It is not a weakly prime, because it can be changed into another prime (313151287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156575628 + 156575629.

It is an arithmetic number, because the mean of its divisors is an integer number (156575629).

Almost surely, 2313151257 is an apocalyptic number.

It is an amenable number.

313151257 is a deficient number, since it is larger than the sum of its proper divisors (1).

313151257 is an equidigital number, since it uses as much as digits as its factorization.

313151257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3150, while the sum is 28.

The square root of 313151257 is about 17696.0802721959. The cubic root of 313151257 is about 679.0754859781.

The spelling of 313151257 in words is "three hundred thirteen million, one hundred fifty-one thousand, two hundred fifty-seven".