2005712565 has 16 divisors (see below), whose sum is σ = 3214512000. Its totient is φ = 1067922752.

The previous prime is 2005712563. The next prime is 2005712567. The reversal of 2005712565 is 5652175002.

It is an interprime number because it is at equal distance from previous prime (2005712563) and next prime (2005712567).

It is a cyclic number.

It is not a de Polignac number, because 2005712565 - 2¹ = 2005712563 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005712563) 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, 102630 + ... + 120599.

It is an arithmetic number, because the mean of its divisors is an integer number (200907000).

Almost surely, 2^2005712565 is an apocalyptic number.

It is an amenable number.

2005712565 is a deficient number, since it is larger than the sum of its proper divisors (1208799435).

2005712565 is a wasteful number, since it uses less digits than its factorization.

2005712565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223836.

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 2005712565 is about 44785.1824267804. The cubic root of 2005712565 is about 1261.1194730884.

Adding to 2005712565 its reverse (5652175002), we get a palindrome (7657887567).

The spelling of 2005712565 in words is "two billion, five million, seven hundred twelve thousand, five hundred sixty-five".