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512315137 is a prime number
BaseRepresentation
bin11110100010010…
…100111100000001
31022201000022020201
4132202110330001
52022123041022
6122500405201
715460415065
oct3642247401
91281008221
10512315137
11243208a44
121236a6801
13821a7669
144c07daa5
152ee9c127
hex1e894f01

512315137 has 2 divisors, whose sum is σ = 512315138. Its totient is φ = 512315136.

The previous prime is 512315081. The next prime is 512315143. The reversal of 512315137 is 731513215.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 265070961 + 247244176 = 16281^2 + 15724^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-512315137 is a prime.

It is not a weakly prime, because it can be changed into another prime (512345137) 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, 256157568 + 256157569.

It is an arithmetic number, because the mean of its divisors is an integer number (256157569).

Almost surely, 2512315137 is an apocalyptic number.

It is an amenable number.

512315137 is a deficient number, since it is larger than the sum of its proper divisors (1).

512315137 is an equidigital number, since it uses as much as digits as its factorization.

512315137 is an odious number, because the sum of its binary digits is odd.

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

The square root of 512315137 is about 22634.3795364485. The cubic root of 512315137 is about 800.1641001908.

The spelling of 512315137 in words is "five hundred twelve million, three hundred fifteen thousand, one hundred thirty-seven".