61601125 has 16 divisors (see below), whose sum is σ = 77117040. Its totient is φ = 49128000.

The previous prime is 61601093. The next prime is 61601179. The reversal of 61601125 is 52110616.

It can be written as a sum of positive squares in 8 ways, for example, as 26388769 + 35212356 = 5137^2 + 5934^2 .

It is not a de Polignac number, because 61601125 - 2⁵ = 61601093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61601096 and 61601105.

It is a congruent number.

It is an unprimeable number.

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, 57091 + ... + 58159.

It is an arithmetic number, because the mean of its divisors is an integer number (4819815).

Almost surely, 2^61601125 is an apocalyptic number.

It is an amenable number.

61601125 is a deficient number, since it is larger than the sum of its proper divisors (15515915).

61601125 is a wasteful number, since it uses less digits than its factorization.

61601125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 61601125 is about 7848.6384169485. The cubic root of 61601125 is about 394.9385686659.

The spelling of 61601125 in words is "sixty-one million, six hundred one thousand, one hundred twenty-five".