2505120490287 has 32 divisors (see below), whose sum is σ = 3761806899200. Its totient is φ = 1647387364896.

The previous prime is 2505120490259. The next prime is 2505120490291. The reversal of 2505120490287 is 7820940215052.

2505120490287 is a `hidden beast` number, since 2 + 50 + 512 + 0 + 4 + 9 + 0 + 2 + 87 = 666.

It is not a de Polignac number, because 2505120490287 - 2³⁵ = 2470760751919 is a prime.

It is a super-2 number, since 2×2505120490287² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505120490237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1714953 + ... + 2819805.

It is an arithmetic number, because the mean of its divisors is an integer number (117556465600).

Almost surely, 2^{2505120490287} is an apocalyptic number.

2505120490287 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2505120490287 is a deficient number, since it is larger than the sum of its proper divisors (1256686408913).

2505120490287 is a wasteful number, since it uses less digits than its factorization.

2505120490287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106004 (or 1105998 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 2505120490287 in words is "two trillion, five hundred five billion, one hundred twenty million, four hundred ninety thousand, two hundred eighty-seven".