2585357541 has 32 divisors (see below), whose sum is σ = 4225415040. Its totient is φ = 1552176000.

The previous prime is 2585357513. The next prime is 2585357563. The reversal of 2585357541 is 1457535852.

2585357541 is a `hidden beast` number, since 2 + 5 + 8 + 53 + 57 + 541 = 666.

2585357541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2585357541 - 2⁶ = 2585357477 is a prime.

It is a super-2 number, since 2×2585357541² = 13368147229611133362, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585357041) 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, 75435 + ... + 104216.

It is an arithmetic number, because the mean of its divisors is an integer number (132044220).

Almost surely, 2^2585357541 is an apocalyptic number.

It is an amenable number.

2585357541 is a deficient number, since it is larger than the sum of its proper divisors (1640057499).

2585357541 is a wasteful number, since it uses less digits than its factorization.

2585357541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179714 (or 179708 counting only the distinct ones).

The product of its digits is 840000, while the sum is 45.

The square root of 2585357541 is about 50846.4112892936. The cubic root of 2585357541 is about 1372.4826740923.

The spelling of 2585357541 in words is "two billion, five hundred eighty-five million, three hundred fifty-seven thousand, five hundred forty-one".