2505164211 has 24 divisors (see below), whose sum is σ = 3953074944. Its totient is φ = 1516149360.

The previous prime is 2505164191. The next prime is 2505164239. The reversal of 2505164211 is 1124615052.

2505164211 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 1 + 642 + 11 = 666.

2505164211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2505164211 - 2¹⁸ = 2504902067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2505164261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54570 + ... + 89376.

It is an arithmetic number, because the mean of its divisors is an integer number (164711456).

Almost surely, 2^2505164211 is an apocalyptic number.

2505164211 is a deficient number, since it is larger than the sum of its proper divisors (1447910733).

2505164211 is a wasteful number, since it uses less digits than its factorization.

2505164211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35551 (or 35548 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2505164211 is about 50051.6154684342. The cubic root of 2505164211 is about 1358.1426872469.

Adding to 2505164211 its reverse (1124615052), we get a palindrome (3629779263).

The spelling of 2505164211 in words is "two billion, five hundred five million, one hundred sixty-four thousand, two hundred eleven".