257328007 has 8 divisors (see below), whose sum is σ = 266625936. Its totient is φ = 248153472.

The previous prime is 257327981. The next prime is 257328023. The reversal of 257328007 is 700823752.

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 257328007 - 2¹⁵ = 257295239 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257328707) 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, 26593 + ... + 34954.

It is an arithmetic number, because the mean of its divisors is an integer number (33328242).

Almost surely, 2^257328007 is an apocalyptic number.

257328007 is a deficient number, since it is larger than the sum of its proper divisors (9297929).

257328007 is a wasteful number, since it uses less digits than its factorization.

257328007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61697.

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 257328007 is about 16041.4465370178. The cubic root of 257328007 is about 636.0564858590.

The spelling of 257328007 in words is "two hundred fifty-seven million, three hundred twenty-eight thousand, seven".