257825585805 has 16 divisors (see below), whose sum is σ = 413030871360. Its totient is φ = 137337001088.

The previous prime is 257825585803. The next prime is 257825585887. The reversal of 257825585805 is 508585528752.

257825585805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 257825585805 - 2¹ = 257825585803 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257825585803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10611087 + ... + 10635356.

It is an arithmetic number, because the mean of its divisors is an integer number (25814429460).

Almost surely, 2^257825585805 is an apocalyptic number.

It is an amenable number.

257825585805 is a deficient number, since it is larger than the sum of its proper divisors (155205285555).

257825585805 is a wasteful number, since it uses less digits than its factorization.

257825585805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21247260.

The product of its (nonzero) digits is 44800000, while the sum is 60.

The spelling of 257825585805 in words is "two hundred fifty-seven billion, eight hundred twenty-five million, five hundred eighty-five thousand, eight hundred five".