257012007 has 24 divisors (see below), whose sum is σ = 412383600. Its totient is φ = 141797376.

The previous prime is 257011991. The next prime is 257012011. The reversal of 257012007 is 700210752.

It is not a de Polignac number, because 257012007 - 2⁴ = 257011991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257012207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25882 + ... + 34407.

It is an arithmetic number, because the mean of its divisors is an integer number (17182650).

Almost surely, 2^257012007 is an apocalyptic number.

257012007 is a deficient number, since it is larger than the sum of its proper divisors (155371593).

257012007 is a wasteful number, since it uses less digits than its factorization.

257012007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60335 (or 60328 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 257012007 is about 16031.5940255484. The cubic root of 257012007 is about 635.7960190954.

Adding to 257012007 its reverse (700210752), we get a palindrome (957222759).

The spelling of 257012007 in words is "two hundred fifty-seven million, twelve thousand, seven".