2505171916 has 48 divisors (see below), whose sum is σ = 4843238400. Its totient is φ = 1126504512.

The previous prime is 2505171899. The next prime is 2505171941. The reversal of 2505171916 is 6191715052.

2505171916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2505171916² = 12551772657430222112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1069875 + ... + 1072213.

It is an arithmetic number, because the mean of its divisors is an integer number (100900800).

Almost surely, 2^2505171916 is an apocalyptic number.

2505171916 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2505171916 is a deficient number, since it is larger than the sum of its proper divisors (2338066484).

2505171916 is a wasteful number, since it uses less digits than its factorization.

2505171916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 37.

The square root of 2505171916 is about 50051.6924389176. The cubic root of 2505171916 is about 1358.1440796345.

Adding to 2505171916 its reverse (6191715052), we get a palindrome (8696886968).

The spelling of 2505171916 in words is "two billion, five hundred five million, one hundred seventy-one thousand, nine hundred sixteen".