257364601 has 8 divisors (see below), whose sum is σ = 277498760. Its totient is φ = 237278592.

The previous prime is 257364559. The next prime is 257364631. The reversal of 257364601 is 106463752.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 724201 + 256640400 = 851^2 + 16020^2 .

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 257364601 - 2¹⁹ = 256840313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257364631) 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, 516 + ... + 22693.

It is an arithmetic number, because the mean of its divisors is an integer number (34687345).

Almost surely, 2^257364601 is an apocalyptic number.

It is an amenable number.

257364601 is a deficient number, since it is larger than the sum of its proper divisors (20134159).

257364601 is a wasteful number, since it uses less digits than its factorization.

257364601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24075.

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 257364601 is about 16042.5871043295. The cubic root of 257364601 is about 636.0866351201.

The spelling of 257364601 in words is "two hundred fifty-seven million, three hundred sixty-four thousand, six hundred one".