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257073989 is a prime number
BaseRepresentation
bin11110101001010…
…10001101000101
3122220201201012212
433110222031011
51011302331424
641301553205
76241043564
oct1724521505
9586651185
10257073989
11122125547
1272115805
134134b4b3
14261dbbdb
151788010e
hexf52a345

257073989 has 2 divisors, whose sum is σ = 257073990. Its totient is φ = 257073988.

The previous prime is 257073961. The next prime is 257073997. The reversal of 257073989 is 989370752.

It is a happy number.

257073989 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 257057089 + 16900 = 16033^2 + 130^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-257073989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257073389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128536994 + 128536995.

It is an arithmetic number, because the mean of its divisors is an integer number (128536995).

Almost surely, 2257073989 is an apocalyptic number.

It is an amenable number.

257073989 is a deficient number, since it is larger than the sum of its proper divisors (1).

257073989 is an equidigital number, since it uses as much as digits as its factorization.

257073989 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 952560, while the sum is 50.

The square root of 257073989 is about 16033.5270293220. The cubic root of 257073989 is about 635.8471253217.

The spelling of 257073989 in words is "two hundred fifty-seven million, seventy-three thousand, nine hundred eighty-nine".