257289905706 has 128 divisors (see below), whose sum is σ = 547577210880. Its totient is φ = 80477628672.

The previous prime is 257289905689. The next prime is 257289905723. The reversal of 257289905706 is 607509982752.

It is an interprime number because it is at equal distance from previous prime (257289905689) and next prime (257289905723).

It is a self number, because there is not a number n which added to its sum of digits gives 257289905706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258063600 + ... + 258064596.

It is an arithmetic number, because the mean of its divisors is an integer number (4277946960).

Almost surely, 2^257289905706 is an apocalyptic number.

257289905706 is an abundant number, since it is smaller than the sum of its proper divisors (290287305174).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257289905706 is a wasteful number, since it uses less digits than its factorization.

257289905706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388.

The product of its (nonzero) digits is 19051200, while the sum is 60.

The spelling of 257289905706 in words is "two hundred fifty-seven billion, two hundred eighty-nine million, nine hundred five thousand, seven hundred six".