3561105625 has 135 divisors (see below), whose sum is σ = 5879315673. Its totient is φ = 2148300000.

The previous prime is 3561105599. The next prime is 3561105649. The reversal of 3561105625 is 5265011653.

The square root of 3561105625 is 59675.

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

It can be written as a sum of positive squares in 2 ways, for example, as 279190681 + 3281914944 = 16709^2 + 57288^2 .

It is not a de Polignac number, because 3561105625 - 2¹³ = 3561097433 is a prime.

It is a super-3 number, since 3×3561105625³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 114874360 + ... + 114874390.

Almost surely, 2^3561105625 is an apocalyptic number.

3561105625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3561105625 is the 59675-th square number.

3561105625 is the 29838-th centered octagonal number.

It is an amenable number.

3561105625 is a deficient number, since it is larger than the sum of its proper divisors (2318210048).

3561105625 is an equidigital number, since it uses as much as digits as its factorization.

3561105625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The cubic root of 3561105625 is about 1527.0793993241.

The spelling of 3561105625 in words is "three billion, five hundred sixty-one million, one hundred five thousand, six hundred twenty-five".