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315632813 is a prime number
BaseRepresentation
bin10010110100000…
…010110010101101
3210222220210211012
4102310002302231
51121300222223
651153035005
710551556166
oct2264026255
9728823735
10315632813
11152191671
1289855a65
13505124a2
142dcc276d
151ca9ac78
hex12d02cad

315632813 has 2 divisors, whose sum is σ = 315632814. Its totient is φ = 315632812.

The previous prime is 315632803. The next prime is 315632819. The reversal of 315632813 is 318236513.

315632813 = 125622 + 125632.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157828969 + 157803844 = 12563^2 + 12562^2 .

It is a cyclic number.

It is not a de Polignac number, because 315632813 - 24 = 315632797 is a prime.

It is a super-3 number, since 3×3156328133 (a number of 26 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 315632813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (315632819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157816406 + 157816407.

It is an arithmetic number, because the mean of its divisors is an integer number (157816407).

Almost surely, 2315632813 is an apocalyptic number.

315632813 is the 12563-rd centered square number.

It is an amenable number.

315632813 is a deficient number, since it is larger than the sum of its proper divisors (1).

315632813 is an equidigital number, since it uses as much as digits as its factorization.

315632813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 32.

The square root of 315632813 is about 17766.0578913838. The cubic root of 315632813 is about 680.8645383533.

The spelling of 315632813 in words is "three hundred fifteen million, six hundred thirty-two thousand, eight hundred thirteen".