Search a number
-
+
257066501 is a prime number
BaseRepresentation
bin11110101001010…
…00011000000101
3122220201022221112
433110220120011
51011302112001
641301454405
76241013006
oct1724503005
9586638845
10257066501
1112211a95a
1272111405
1341347c73
14261d91ad
151787ccbb
hexf528605

257066501 has 2 divisors, whose sum is σ = 257066502. Its totient is φ = 257066500.

The previous prime is 257066497. The next prime is 257066531. The reversal of 257066501 is 105660752.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 222785476 + 34281025 = 14926^2 + 5855^2 .

It is a cyclic number.

It is not a de Polignac number, because 257066501 - 22 = 257066497 is a prime.

It is a Sophie Germain prime.

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 (257066531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128533250 + 128533251.

It is an arithmetic number, because the mean of its divisors is an integer number (128533251).

Almost surely, 2257066501 is an apocalyptic number.

It is an amenable number.

257066501 is a deficient number, since it is larger than the sum of its proper divisors (1).

257066501 is an equidigital number, since it uses as much as digits as its factorization.

257066501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 257066501 is about 16033.2935169291. The cubic root of 257066501 is about 635.8409516522.

The spelling of 257066501 in words is "two hundred fifty-seven million, sixty-six thousand, five hundred one".