2261131625 has 16 divisors (see below), whose sum is σ = 2838230928. Its totient is φ = 1798432000.

The previous prime is 2261131603. The next prime is 2261131627. The reversal of 2261131625 is 5261311622.

It can be written as a sum of positive squares in 8 ways, for example, as 501580816 + 1759550809 = 22396^2 + 41947^2 .

It is not a de Polignac number, because 2261131625 - 2¹⁶ = 2261066089 is a prime.

It is a super-2 number, since 2×2261131625² = 10225432451150281250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2261131627) 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, 30656 + ... + 73905.

It is an arithmetic number, because the mean of its divisors is an integer number (177389433).

Almost surely, 2^2261131625 is an apocalyptic number.

2261131625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2261131625 is a deficient number, since it is larger than the sum of its proper divisors (577099303).

2261131625 is a wasteful number, since it uses less digits than its factorization.

2261131625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104749 (or 104739 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 2261131625 is about 47551.3577618978. The cubic root of 2261131625 is about 1312.5281142882.

The spelling of 2261131625 in words is "two billion, two hundred sixty-one million, one hundred thirty-one thousand, six hundred twenty-five".