61305361 has 8 divisors (see below), whose sum is σ = 66312680. Its totient is φ = 56339712.

The previous prime is 61305359. The next prime is 61305389. The reversal of 61305361 is 16350316.

61305361 is digitally balanced in base 2, because in such base 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 29495761 + 31809600 = 5431^2 + 5640^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 61305361 - 2¹ = 61305359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61305301) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7320 + ... + 13273.

It is an arithmetic number, because the mean of its divisors is an integer number (8289085).

Almost surely, 2^61305361 is an apocalyptic number.

It is an amenable number.

61305361 is a deficient number, since it is larger than the sum of its proper divisors (5007319).

61305361 is a wasteful number, since it uses less digits than its factorization.

61305361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20835.

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 61305361 is about 7829.7740069558. The cubic root of 61305361 is about 394.3054846947.

Adding to 61305361 its reverse (16350316), we get a palindrome (77655677).

The spelling of 61305361 in words is "sixty-one million, three hundred five thousand, three hundred sixty-one".