61801125 has 32 divisors (see below), whose sum is σ = 103958400. Its totient is φ = 32601600.

The previous prime is 61801093. The next prime is 61801139. The reversal of 61801125 is 52110816.

61801125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61801125 - 2⁵ = 61801093 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 61801095 and 61801104.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 35526 + ... + 37224.

It is an arithmetic number, because the mean of its divisors is an integer number (3248700).

Almost surely, 2^61801125 is an apocalyptic number.

It is an amenable number.

61801125 is a deficient number, since it is larger than the sum of its proper divisors (42157275).

61801125 is a wasteful number, since it uses less digits than its factorization.

61801125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 61801125 is about 7861.3691555606. The cubic root of 61801125 is about 395.3655218241.

The spelling of 61801125 in words is "sixty-one million, eight hundred one thousand, one hundred twenty-five".