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8137529261 is a prime number
BaseRepresentation
bin1111001010000100…
…01101011110101101
3210000010012022120122
413211002031132231
5113131201414021
63423251254325
7405440600051
oct74502153655
923003168518
108137529261
1134a64721a4
1216b12aa3a5
139c8b96994
14572a67c61
15329614bab
hex1e508d7ad

8137529261 has 2 divisors, whose sum is σ = 8137529262. Its totient is φ = 8137529260.

The previous prime is 8137529201. The next prime is 8137529263. The reversal of 8137529261 is 1629257318.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7720961161 + 416568100 = 87869^2 + 20410^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-8137529261 is a prime.

It is a super-2 number, since 2×81375292612 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 8137529263, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8137529263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4068764630 + 4068764631.

It is an arithmetic number, because the mean of its divisors is an integer number (4068764631).

Almost surely, 28137529261 is an apocalyptic number.

It is an amenable number.

8137529261 is a deficient number, since it is larger than the sum of its proper divisors (1).

8137529261 is an equidigital number, since it uses as much as digits as its factorization.

8137529261 is an evil number, because the sum of its binary digits is even.

The product of its digits is 181440, while the sum is 44.

The square root of 8137529261 is about 90208.2549493116. The cubic root of 8137529261 is about 2011.3957172414.

The spelling of 8137529261 in words is "eight billion, one hundred thirty-seven million, five hundred twenty-nine thousand, two hundred sixty-one".