257042520009 has 24 divisors (see below), whose sum is σ = 405052876800. Its totient is φ = 155777123040.

The previous prime is 257042519941. The next prime is 257042520023. The reversal of 257042520009 is 900025240752.

It is a happy number.

257042520009 is a `hidden beast` number, since 25 + 7 + 0 + 425 + 200 + 0 + 9 = 666.

It is not a de Polignac number, because 257042520009 - 2⁸ = 257042519753 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (257042520109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4150927 + ... + 4212395.

It is an arithmetic number, because the mean of its divisors is an integer number (16877203200).

Almost surely, 2^257042520009 is an apocalyptic number.

It is an amenable number.

257042520009 is a deficient number, since it is larger than the sum of its proper divisors (148010356791).

257042520009 is a wasteful number, since it uses less digits than its factorization.

257042520009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103725 (or 103722 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 257042520009 in words is "two hundred fifty-seven billion, forty-two million, five hundred twenty thousand, nine".