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2579316017 is a prime number
BaseRepresentation
bin1001100110111101…
…0011110100110001
320122202102211101212
42121233103310301
520240301103032
61103535405505
7120626552525
oct23157236461
96582384355
102579316017
111103a58333
125bb983895
133214b03c5
141a67b9d85
15101696bb2
hex99bd3d31

2579316017 has 2 divisors, whose sum is σ = 2579316018. Its totient is φ = 2579316016.

The previous prime is 2579315969. The next prime is 2579316043. The reversal of 2579316017 is 7106139752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2115172081 + 464143936 = 45991^2 + 21544^2 .

It is a cyclic number.

It is not a de Polignac number, because 2579316017 - 26 = 2579315953 is a prime.

It is a super-2 number, since 2×25793160172 = 13305742231105488578, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2579316097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1289658008 + 1289658009.

It is an arithmetic number, because the mean of its divisors is an integer number (1289658009).

Almost surely, 22579316017 is an apocalyptic number.

It is an amenable number.

2579316017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2579316017 is an equidigital number, since it uses as much as digits as its factorization.

2579316017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 79380, while the sum is 41.

The square root of 2579316017 is about 50786.9669994183. The cubic root of 2579316017 is about 1371.4127570468.

The spelling of 2579316017 in words is "two billion, five hundred seventy-nine million, three hundred sixteen thousand, seventeen".