2505583287 has 10 divisors (see below), whose sum is σ = 3742908488. Its totient is φ = 1670388804.

The previous prime is 2505583271. The next prime is 2505583303. The reversal of 2505583287 is 7823855052.

2505583287 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2505583271) and next prime (2505583303).

It is not a de Polignac number, because 2505583287 - 2⁴ = 2505583271 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 (2505583217) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15466483 + ... + 15466644.

Almost surely, 2^2505583287 is an apocalyptic number.

2505583287 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2505583287 is a deficient number, since it is larger than the sum of its proper divisors (1237325201).

2505583287 is an equidigital number, since it uses as much as digits as its factorization.

2505583287 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30933139 (or 30933130 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 2505583287 is about 50055.8017316674. The cubic root of 2505583287 is about 1358.2184152527.

The spelling of 2505583287 in words is "two billion, five hundred five million, five hundred eighty-three thousand, two hundred eighty-seven".