2585065761 has 6 divisors (see below), whose sum is σ = 3733983890. Its totient is φ = 1723377168.

The previous prime is 2585065697. The next prime is 2585065807. The reversal of 2585065761 is 1675605852.

2585065761 is a `hidden beast` number, since 2 + 585 + 0 + 6 + 5 + 7 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2524459536 + 60606225 = 50244^2 + 7785^2 .

It is not a de Polignac number, because 2585065761 - 2⁶ = 2585065697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2585065361) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143614756 + ... + 143614773.

Almost surely, 2^2585065761 is an apocalyptic number.

It is an amenable number.

2585065761 is a deficient number, since it is larger than the sum of its proper divisors (1148918129).

2585065761 is a wasteful number, since it uses less digits than its factorization.

2585065761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287229535 (or 287229532 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 2585065761 is about 50843.5419792917. The cubic root of 2585065761 is about 1372.4310399624.

The spelling of 2585065761 in words is "two billion, five hundred eighty-five million, sixty-five thousand, seven hundred sixty-one".