2505101165 has 48 divisors (see below), whose sum is σ = 3603398400. Its totient is φ = 1637395200.

The previous prime is 2505101117. The next prime is 2505101167. The reversal of 2505101165 is 5611015052.

It is not a de Polignac number, because 2505101165 - 2⁶ = 2505101101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505101167) 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, 2387561 + ... + 2388609.

It is an arithmetic number, because the mean of its divisors is an integer number (75070800).

Almost surely, 2^2505101165 is an apocalyptic number.

It is an amenable number.

2505101165 is a deficient number, since it is larger than the sum of its proper divisors (1098297235).

2505101165 is a wasteful number, since it uses less digits than its factorization.

2505101165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 26.

The square root of 2505101165 is about 50050.9856546302. The cubic root of 2505101165 is about 1358.1312939575.

The spelling of 2505101165 in words is "two billion, five hundred five million, one hundred one thousand, one hundred sixty-five".