257968007 has 12 divisors (see below), whose sum is σ = 289591008. Its totient is φ = 229521600.

The previous prime is 257967989. The next prime is 257968031. The reversal of 257968007 is 700869752.

257968007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 257968007 - 2⁸ = 257967751 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 (257968037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16994 + ... + 28367.

It is an arithmetic number, because the mean of its divisors is an integer number (24132584).

Almost surely, 2^257968007 is an apocalyptic number.

257968007 is a deficient number, since it is larger than the sum of its proper divisors (31623001).

257968007 is a wasteful number, since it uses less digits than its factorization.

257968007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45430 (or 45419 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 257968007 is about 16061.3824747436. The cubic root of 257968007 is about 636.5833609315.

The spelling of 257968007 in words is "two hundred fifty-seven million, nine hundred sixty-eight thousand, seven".