257559044061 has 48 divisors (see below), whose sum is σ = 394186770432. Its totient is φ = 149193755040.

The previous prime is 257559044009. The next prime is 257559044077. The reversal of 257559044061 is 160440955752.

It is not a de Polignac number, because 257559044061 - 2⁹ = 257559043549 is a prime.

It is a super-2 number, since 2×257559044061² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 257559044061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257559044081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11401800 + ... + 11424366.

It is an arithmetic number, because the mean of its divisors is an integer number (8212224384).

Almost surely, 2^257559044061 is an apocalyptic number.

It is an amenable number.

257559044061 is a deficient number, since it is larger than the sum of its proper divisors (136627726371).

257559044061 is a wasteful number, since it uses less digits than its factorization.

257559044061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23982 (or 23971 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 257559044061 in words is "two hundred fifty-seven billion, five hundred fifty-nine million, forty-four thousand, sixty-one".