2251615131 has 32 divisors (see below), whose sum is σ = 3453050880. Its totient is φ = 1448925408.

The previous prime is 2251615111. The next prime is 2251615147. The reversal of 2251615131 is 1315161522.

2251615131 is a `hidden beast` number, since 2 + 2 + 516 + 15 + 131 = 666.

It is not a de Polignac number, because 2251615131 - 2⁹ = 2251614619 is a prime.

It is a super-2 number, since 2×2251615131² = 10139541396296294322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2251615095 and 2251615104.

It is not an unprimeable number, because it can be changed into a prime (2251615111) 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 31 ways as a sum of consecutive naturals, for example, 118000 + ... + 135746.

It is an arithmetic number, because the mean of its divisors is an integer number (107907840).

Almost surely, 2^2251615131 is an apocalyptic number.

2251615131 is a deficient number, since it is larger than the sum of its proper divisors (1201435749).

2251615131 is a wasteful number, since it uses less digits than its factorization.

2251615131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17920 (or 17914 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 2251615131 is about 47451.1868239352. The cubic root of 2251615131 is about 1310.6841658633.

Adding to 2251615131 its reverse (1315161522), we get a palindrome (3566776653).

The spelling of 2251615131 in words is "two billion, two hundred fifty-one million, six hundred fifteen thousand, one hundred thirty-one".