2661012225 has 81 divisors (see below), whose sum is σ = 5058167049. Its totient is φ = 1337083200.

The previous prime is 2661012223. The next prime is 2661012271. The reversal of 2661012225 is 5222101662.

The square root of 2661012225 is 51585.

It is a perfect power (a square), and thus also a powerful number.

2661012225 is a `hidden beast` number, since 2 + 6 + 610 + 1 + 22 + 25 = 666.

2661012225 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1428159681 + 1232852544 = 37791^2 + 35112^2 .

It is not a de Polignac number, because 2661012225 - 2¹ = 2661012223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2661012223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14701635 + ... + 14701815.

Almost surely, 2^2661012225 is an apocalyptic number.

2661012225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2661012225 is the 51585-th square number.

2661012225 is the 25793-rd centered octagonal number.

It is an amenable number.

2661012225 is a deficient number, since it is larger than the sum of its proper divisors (2397154824).

2661012225 is a wasteful number, since it uses less digits than its factorization.

2661012225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 2661012225 is about 1385.7417123941.

Adding to 2661012225 its reverse (5222101662), we get a palindrome (7883113887).

The spelling of 2661012225 in words is "two billion, six hundred sixty-one million, twelve thousand, two hundred twenty-five".