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315656513 is a prime number
BaseRepresentation
bin10010110100001…
…000100101000001
3210222222000022222
4102310020211001
51121302002023
651153340425
710552015244
oct2264104501
9728860288
10315656513
111521a8457
1289867715
1350520203
142dccb25b
151caa2cc8
hex12d08941

315656513 has 2 divisors, whose sum is σ = 315656514. Its totient is φ = 315656512.

The previous prime is 315656491. The next prime is 315656521.

It is a happy number.

315656513 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 292683664 + 22972849 = 17108^2 + 4793^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 315656513 - 212 = 315652417 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (315656533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157828256 + 157828257.

It is an arithmetic number, because the mean of its divisors is an integer number (157828257).

Almost surely, 2315656513 is an apocalyptic number.

It is an amenable number.

315656513 is a deficient number, since it is larger than the sum of its proper divisors (1).

315656513 is an equidigital number, since it uses as much as digits as its factorization.

315656513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 40500, while the sum is 35.

The square root of 315656513 is about 17766.7248810804. The cubic root of 315656513 is about 680.8815793421.

The spelling of 315656513 in words is "three hundred fifteen million, six hundred fifty-six thousand, five hundred thirteen".