256605731541 has 16 divisors (see below), whose sum is σ = 380318708800. Its totient is φ = 170997556464.

The previous prime is 256605731531. The next prime is 256605731573. The reversal of 256605731541 is 145137506652.

256605731541 is a `hidden beast` number, since 2 + 5 + 6 + 60 + 573 + 15 + 4 + 1 = 666.

It is not a de Polignac number, because 256605731541 - 2⁵ = 256605731509 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256605731521) 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, 1961326 + ... + 2088063.

It is an arithmetic number, because the mean of its divisors is an integer number (23769919300).

Almost surely, 2^256605731541 is an apocalyptic number.

It is an amenable number.

256605731541 is a deficient number, since it is larger than the sum of its proper divisors (123712977259).

256605731541 is a wasteful number, since it uses less digits than its factorization.

256605731541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051745 (or 4051739 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 256605731541 in words is "two hundred fifty-six billion, six hundred five million, seven hundred thirty-one thousand, five hundred forty-one".