2505074381271 has 48 divisors (see below), whose sum is σ = 4529276414208. Its totient is φ = 1296152640000.

The previous prime is 2505074381237. The next prime is 2505074381291. The reversal of 2505074381271 is 1721834705052.

2505074381271 is a `hidden beast` number, since 2 + 5 + 0 + 507 + 43 + 81 + 27 + 1 = 666.

It is not a de Polignac number, because 2505074381271 - 2⁹ = 2505074380759 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505074381291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7026906 + ... + 7374791.

It is an arithmetic number, because the mean of its divisors is an integer number (94359925296).

Almost surely, 2^{2505074381271} is an apocalyptic number.

2505074381271 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2505074381271 is a deficient number, since it is larger than the sum of its proper divisors (2024202032937).

2505074381271 is a wasteful number, since it uses less digits than its factorization.

2505074381271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14401972 (or 14401969 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 2505074381271 in words is "two trillion, five hundred five billion, seventy-four million, three hundred eighty-one thousand, two hundred seventy-one".