61661125 has 16 divisors (see below), whose sum is σ = 81482544. Its totient is φ = 46425600.

The previous prime is 61661123. The next prime is 61661153. The reversal of 61661125 is 52116616.

It can be written as a sum of positive squares in 8 ways, for example, as 21325924 + 40335201 = 4618^2 + 6351^2 .

It is not a de Polignac number, because 61661125 - 2¹ = 61661123 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61661093 and 61661102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61661123) 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 15 ways as a sum of consecutive naturals, for example, 12384 + ... + 16633.

It is an arithmetic number, because the mean of its divisors is an integer number (5092659).

Almost surely, 2^61661125 is an apocalyptic number.

It is an amenable number.

61661125 is a deficient number, since it is larger than the sum of its proper divisors (19821419).

61661125 is a wasteful number, since it uses less digits than its factorization.

61661125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29049 (or 29039 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 61661125 is about 7852.4598056915. The cubic root of 61661125 is about 395.0667515241.

The spelling of 61661125 in words is "sixty-one million, six hundred sixty-one thousand, one hundred twenty-five".