2505782508253 has 4 divisors (see below), whose sum is σ = 2506147949340. Its totient is φ = 2505417067168.

The previous prime is 2505782508221. The next prime is 2505782508287. The reversal of 2505782508253 is 3528052875052.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 81075728644 + 2424706779609 = 284738^2 + 1557147^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505782508253 - 2⁵ = 2505782508221 is a prime.

It is a super-2 number, since 2×2505782508253² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2505782508253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505782508293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182710258 + ... + 182723971.

It is an arithmetic number, because the mean of its divisors is an integer number (626536987335).

Almost surely, 2^{2505782508253} is an apocalyptic number.

It is an amenable number.

2505782508253 is a deficient number, since it is larger than the sum of its proper divisors (365441087).

2505782508253 is an equidigital number, since it uses as much as digits as its factorization.

2505782508253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365441086.

The product of its (nonzero) digits is 6720000, while the sum is 52.

The spelling of 2505782508253 in words is "two trillion, five hundred five billion, seven hundred eighty-two million, five hundred eight thousand, two hundred fifty-three".