2506406106171 has 144 divisors (see below), whose sum is σ = 3873209027072. Its totient is φ = 1439773695360.

The previous prime is 2506406106143. The next prime is 2506406106179. The reversal of 2506406106171 is 1716016046052.

It is not a de Polignac number, because 2506406106171 - 2¹¹ = 2506406104123 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2506406106179) 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 143 ways as a sum of consecutive naturals, for example, 5413403886 + ... + 5413404348.

Almost surely, 2^{2506406106171} is an apocalyptic number.

2506406106171 is a deficient number, since it is larger than the sum of its proper divisors (1366802920901).

2506406106171 is a wasteful number, since it uses less digits than its factorization.

2506406106171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 2506406106171 in words is "two trillion, five hundred six billion, four hundred six million, one hundred six thousand, one hundred seventy-one".