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2959131317 is a prime number
BaseRepresentation
bin1011000001100000…
…1100001010110101
321122020010110001012
42300120030022311
522030014200232
61205344242005
7133221126002
oct26030141265
97566113035
102959131317
11128939717a
126a7010305
133820a549c
142010088a9
15124bbe9b2
hexb060c2b5

2959131317 has 2 divisors, whose sum is σ = 2959131318. Its totient is φ = 2959131316.

The previous prime is 2959131199. The next prime is 2959131341. The reversal of 2959131317 is 7131319592.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2120970916 + 838160401 = 46054^2 + 28951^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2959131317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2959131347) 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, 1479565658 + 1479565659.

It is an arithmetic number, because the mean of its divisors is an integer number (1479565659).

Almost surely, 22959131317 is an apocalyptic number.

It is an amenable number.

2959131317 is a deficient number, since it is larger than the sum of its proper divisors (1).

2959131317 is an equidigital number, since it uses as much as digits as its factorization.

2959131317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51030, while the sum is 41.

The square root of 2959131317 is about 54397.8980935845. The cubic root of 2959131317 is about 1435.6703989579.

The spelling of 2959131317 in words is "two billion, nine hundred fifty-nine million, one hundred thirty-one thousand, three hundred seventeen".