257388612001 has 16 divisors (see below), whose sum is σ = 266704117200. Its totient is φ = 248204666880.

The previous prime is 257388611983. The next prime is 257388612059. The reversal of 257388612001 is 100216883752.

It can be written as a sum of positive squares in 8 ways, for example, as 68966638225 + 188421973776 = 262615^2 + 434076^2 .

It is not a de Polignac number, because 257388612001 - 2¹³ = 257388603809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257388619001) 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, 2468361 + ... + 2570521.

It is an arithmetic number, because the mean of its divisors is an integer number (16669007325).

Almost surely, 2^257388612001 is an apocalyptic number.

It is an amenable number.

257388612001 is a deficient number, since it is larger than the sum of its proper divisors (9315505199).

257388612001 is a wasteful number, since it uses less digits than its factorization.

257388612001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102804.

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 257388612001 in words is "two hundred fifty-seven billion, three hundred eighty-eight million, six hundred twelve thousand, one".