2505032271 has 32 divisors (see below), whose sum is σ = 4246272000. Its totient is φ = 1429777440.

The previous prime is 2505032261. The next prime is 2505032279. The reversal of 2505032271 is 1722305052.

It is not a de Polignac number, because 2505032271 - 2⁵ = 2505032239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505032279) 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 31 ways as a sum of consecutive naturals, for example, 164905 + ... + 179453.

It is an arithmetic number, because the mean of its divisors is an integer number (132696000).

Almost surely, 2^2505032271 is an apocalyptic number.

2505032271 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2505032271 is a deficient number, since it is larger than the sum of its proper divisors (1741239729).

2505032271 is a wasteful number, since it uses less digits than its factorization.

2505032271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15476 (or 15470 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2505032271 is about 50050.2974117038. The cubic root of 2505032271 is about 1358.1188436346.

The spelling of 2505032271 in words is "two billion, five hundred five million, thirty-two thousand, two hundred seventy-one".