257259013 has 8 divisors (see below), whose sum is σ = 280784736. Its totient is φ = 233756400.

The previous prime is 257258999. The next prime is 257259017. The reversal of 257259013 is 310952752.

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 257259013 - 2²¹ = 255161861 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 257259013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257259017) 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, 24370 + ... + 33292.

It is an arithmetic number, because the mean of its divisors is an integer number (35098092).

Almost surely, 2^257259013 is an apocalyptic number.

It is an amenable number.

257259013 is a deficient number, since it is larger than the sum of its proper divisors (23525723).

257259013 is a wasteful number, since it uses less digits than its factorization.

257259013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11555.

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 257259013 is about 16039.2959010051. The cubic root of 257259013 is about 635.9996349364. Note that the first 3 decimals are identical.

The spelling of 257259013 in words is "two hundred fifty-seven million, two hundred fifty-nine thousand, thirteen".