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2057088289 is a prime number
BaseRepresentation
bin111101010011100…
…1010110100100001
312022100202220122011
41322213022310201
513203103311124
6540042312521
7101655650644
oct17247126441
95270686564
102057088289
11966199973
12494ab8741
1326a244c09
141572b9a5b
15c08dc994
hex7a9cad21

2057088289 has 2 divisors, whose sum is σ = 2057088290. Its totient is φ = 2057088288.

The previous prime is 2057088287. The next prime is 2057088317. The reversal of 2057088289 is 9828807502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1598400400 + 458687889 = 39980^2 + 21417^2 .

It is a cyclic number.

It is not a de Polignac number, because 2057088289 - 21 = 2057088287 is a prime.

It is a super-2 number, since 2×20570882892 = 8463224457481895042, which contains 22 as substring.

Together with 2057088287, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2057088287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1028544144 + 1028544145.

It is an arithmetic number, because the mean of its divisors is an integer number (1028544145).

Almost surely, 22057088289 is an apocalyptic number.

It is an amenable number.

2057088289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2057088289 is an equidigital number, since it uses as much as digits as its factorization.

2057088289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 645120, while the sum is 49.

The square root of 2057088289 is about 45355.1351998867. The cubic root of 2057088289 is about 1271.7965540375.

The spelling of 2057088289 in words is "two billion, fifty-seven million, eighty-eight thousand, two hundred eighty-nine".