257248680623 has 16 divisors (see below), whose sum is σ = 285983480736. Its totient is φ = 229406960640.

The previous prime is 257248680613. The next prime is 257248680641. The reversal of 257248680623 is 326086842752.

It is not a de Polignac number, because 257248680623 - 2³⁶ = 188529203887 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257248680613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3306215 + ... + 3383127.

It is an arithmetic number, because the mean of its divisors is an integer number (17873967546).

Almost surely, 2^257248680623 is an apocalyptic number.

257248680623 is a deficient number, since it is larger than the sum of its proper divisors (28734800113).

257248680623 is a wasteful number, since it uses less digits than its factorization.

257248680623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82714.

The product of its (nonzero) digits is 7741440, while the sum is 53.

The spelling of 257248680623 in words is "two hundred fifty-seven billion, two hundred forty-eight million, six hundred eighty thousand, six hundred twenty-three".