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257262661 is a prime number
BaseRepresentation
bin11110101010110…
…00010001000101
3122221002022000201
433111120101011
51011324401121
641310010501
76242460625
oct1725302105
9587068021
10257262661
11122244277
12721a6a31
13413b6336
142624a885
15178bae91
hexf558445

257262661 has 2 divisors, whose sum is σ = 257262662. Its totient is φ = 257262660.

The previous prime is 257262653. The next prime is 257262671. The reversal of 257262661 is 166262752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 246333025 + 10929636 = 15695^2 + 3306^2 .

It is a cyclic number.

It is not a de Polignac number, because 257262661 - 23 = 257262653 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257262661.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257262671) 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, 128631330 + 128631331.

It is an arithmetic number, because the mean of its divisors is an integer number (128631331).

Almost surely, 2257262661 is an apocalyptic number.

It is an amenable number.

257262661 is a deficient number, since it is larger than the sum of its proper divisors (1).

257262661 is an equidigital number, since it uses as much as digits as its factorization.

257262661 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60480, while the sum is 37.

The square root of 257262661 is about 16039.4096213046. The cubic root of 257262661 is about 636.0026411359.

Subtracting from 257262661 its reverse (166262752), we obtain a palindrome (90999909).

The spelling of 257262661 in words is "two hundred fifty-seven million, two hundred sixty-two thousand, six hundred sixty-one".