257159201 has 8 divisors (see below), whose sum is σ = 277232424. Its totient is φ = 237127680.

The previous prime is 257159131. The next prime is 257159209. The reversal of 257159201 is 102951752.

It is a happy number.

257159201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 678976 + 256480225 = 824^2 + 16015^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257159201 - 2²⁶ = 190050337 is a prime.

It is a super-2 number, since 2×257159201² = 132261709317916802, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257159209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3041 + ... + 22881.

It is an arithmetic number, because the mean of its divisors is an integer number (34654053).

Almost surely, 2^257159201 is an apocalyptic number.

It is an amenable number.

257159201 is a deficient number, since it is larger than the sum of its proper divisors (20073223).

257159201 is a wasteful number, since it uses less digits than its factorization.

257159201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20851.

The product of its (nonzero) digits is 6300, while the sum is 32.

The square root of 257159201 is about 16036.1841159298. The cubic root of 257159201 is about 635.9173720498.

The spelling of 257159201 in words is "two hundred fifty-seven million, one hundred fifty-nine thousand, two hundred one".