2165013137 has 16 divisors (see below), whose sum is σ = 2497440000. Its totient is φ = 1838453760.

The previous prime is 2165013119. The next prime is 2165013167. The reversal of 2165013137 is 7313105612.

It is a cyclic number.

It is not a de Polignac number, because 2165013137 - 2¹⁶ = 2164947601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2165013167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332489 + ... + 338937.

It is an arithmetic number, because the mean of its divisors is an integer number (156090000).

Almost surely, 2^2165013137 is an apocalyptic number.

It is an amenable number.

2165013137 is a deficient number, since it is larger than the sum of its proper divisors (332426863).

2165013137 is a wasteful number, since it uses less digits than its factorization.

2165013137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6896.

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 2165013137 is about 46529.7016646357. The cubic root of 2165013137 is about 1293.6600854468.

Adding to 2165013137 its reverse (7313105612), we get a palindrome (9478118749).

The spelling of 2165013137 in words is "two billion, one hundred sixty-five million, thirteen thousand, one hundred thirty-seven".