257329208853 has 20 divisors (see below), whose sum is σ = 384440210220. Its totient is φ = 171537253632.

The previous prime is 257329208837. The next prime is 257329208869. The reversal of 257329208853 is 358802923752.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (257329208837) and next prime (257329208869).

It can be written as a sum of positive squares in 2 ways, for example, as 137379198609 + 119950010244 = 370647^2 + 346338^2 .

It is not a de Polignac number, because 257329208853 - 2⁴ = 257329208837 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 257329208853.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257329208813) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 792351 + ... + 1068867.

It is an arithmetic number, because the mean of its divisors is an integer number (19222010511).

Almost surely, 2^257329208853 is an apocalyptic number.

It is an amenable number.

257329208853 is a deficient number, since it is larger than the sum of its proper divisors (127111001367).

257329208853 is a wasteful number, since it uses less digits than its factorization.

257329208853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288018 (or 288009 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 257329208853 in words is "two hundred fifty-seven billion, three hundred twenty-nine million, two hundred eight thousand, eight hundred fifty-three".