257901705215 has 32 divisors (see below), whose sum is σ = 385921276416. Its totient is φ = 160739256960.

The previous prime is 257901705199. The next prime is 257901705293. The reversal of 257901705215 is 512507109752.

It is not a de Polignac number, because 257901705215 - 2⁴ = 257901705199 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2049869 + ... + 2172041.

It is an arithmetic number, because the mean of its divisors is an integer number (12060039888).

Almost surely, 2^257901705215 is an apocalyptic number.

257901705215 is a deficient number, since it is larger than the sum of its proper divisors (128019571201).

257901705215 is a wasteful number, since it uses less digits than its factorization.

257901705215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127679.

The product of its (nonzero) digits is 220500, while the sum is 44.

The spelling of 257901705215 in words is "two hundred fifty-seven billion, nine hundred one million, seven hundred five thousand, two hundred fifteen".