Search a number
-
+
314072513 is a prime number
BaseRepresentation
bin10010101110000…
…101110111000001
3210212222112111022
4102232011313001
51120400310023
651055355225
710532400206
oct2256056701
9725875438
10314072513
11151316367
1289222b15
13500b7231
142d9d7cad
151c88d7c8
hex12b85dc1

314072513 has 2 divisors, whose sum is σ = 314072514. Its totient is φ = 314072512.

The previous prime is 314072509. The next prime is 314072533. The reversal of 314072513 is 315270413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 235714609 + 78357904 = 15353^2 + 8852^2 .

It is an emirp because it is prime and its reverse (315270413) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 314072513 - 22 = 314072509 is a prime.

It is not a weakly prime, because it can be changed into another prime (314072533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157036256 + 157036257.

It is an arithmetic number, because the mean of its divisors is an integer number (157036257).

Almost surely, 2314072513 is an apocalyptic number.

It is an amenable number.

314072513 is a deficient number, since it is larger than the sum of its proper divisors (1).

314072513 is an equidigital number, since it uses as much as digits as its factorization.

314072513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 314072513 is about 17722.0911012217. The cubic root of 314072513 is about 679.7407554164.

The spelling of 314072513 in words is "three hundred fourteen million, seventy-two thousand, five hundred thirteen".