2505448253 has 48 divisors (see below), whose sum is σ = 3394566144. Its totient is φ = 1822141440.

The previous prime is 2505448247. The next prime is 2505448271. The reversal of 2505448253 is 3528445052.

It is a happy number.

It is not a de Polignac number, because 2505448253 - 2¹⁸ = 2505186109 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505447253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1162625 + ... + 1164777.

It is an arithmetic number, because the mean of its divisors is an integer number (70720128).

Almost surely, 2^2505448253 is an apocalyptic number.

It is an amenable number.

2505448253 is a deficient number, since it is larger than the sum of its proper divisors (889117891).

2505448253 is a wasteful number, since it uses less digits than its factorization.

2505448253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 38.

The square root of 2505448253 is about 50054.4528788399. The cubic root of 2505448253 is about 1358.1940152177.

The spelling of 2505448253 in words is "two billion, five hundred five million, four hundred forty-eight thousand, two hundred fifty-three".