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2057137193 is a prime number
BaseRepresentation
bin111101010011101…
…0110110000101001
312022100212101201102
41322213112300221
513203111342233
6540043331145
7101656243346
oct17247266051
95270771642
102057137193
11966222691
12494b20ab5
1326a261257
141572cd7cd
15c08ec1e8
hex7a9d6c29

2057137193 has 2 divisors, whose sum is σ = 2057137194. Its totient is φ = 2057137192.

The previous prime is 2057137171. The next prime is 2057137217. The reversal of 2057137193 is 3917317502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1838008384 + 219128809 = 42872^2 + 14803^2 .

It is a cyclic number.

It is not a de Polignac number, because 2057137193 - 214 = 2057120809 is a prime.

It is not a weakly prime, because it can be changed into another prime (2057137123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1028568596 + 1028568597.

It is an arithmetic number, because the mean of its divisors is an integer number (1028568597).

Almost surely, 22057137193 is an apocalyptic number.

It is an amenable number.

2057137193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2057137193 is an equidigital number, since it uses as much as digits as its factorization.

2057137193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39690, while the sum is 38.

The square root of 2057137193 is about 45355.6743197585. The cubic root of 2057137193 is about 1271.8066322705.

The spelling of 2057137193 in words is "two billion, fifty-seven million, one hundred thirty-seven thousand, one hundred ninety-three".