257285605511 has 32 divisors (see below), whose sum is σ = 310178465856. Its totient is φ = 210715648000.

The previous prime is 257285605469. The next prime is 257285605513. The reversal of 257285605511 is 115506582752.

It is not a de Polignac number, because 257285605511 - 2³⁴ = 240105736327 is a prime.

It is a super-2 number, since 2×257285605511² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257285605513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89771 + ... + 722931.

It is an arithmetic number, because the mean of its divisors is an integer number (9693077058).

Almost surely, 2^257285605511 is an apocalyptic number.

257285605511 is a deficient number, since it is larger than the sum of its proper divisors (52892860345).

257285605511 is a wasteful number, since it uses less digits than its factorization.

257285605511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633283.

The product of its (nonzero) digits is 840000, while the sum is 47.

The spelling of 257285605511 in words is "two hundred fifty-seven billion, two hundred eighty-five million, six hundred five thousand, five hundred eleven".