61306713 has 28 divisors (see below), whose sum is σ = 99003940. Its totient is φ = 37721376.

The previous prime is 61306649. The next prime is 61306741. The reversal of 61306713 is 31760316.

It can be written as a sum of positive squares in 2 ways, for example, as 5774409 + 55532304 = 2403^2 + 7452^2 .

It is not a de Polignac number, because 61306713 - 2⁶ = 61306649 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (61306793) 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 27 ways as a sum of consecutive naturals, for example, 6243 + ... + 12711.

It is an arithmetic number, because the mean of its divisors is an integer number (3535855).

Almost surely, 2^61306713 is an apocalyptic number.

It is an amenable number.

61306713 is a deficient number, since it is larger than the sum of its proper divisors (37697227).

61306713 is an equidigital number, since it uses as much as digits as its factorization.

61306713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6500 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 61306713 is about 7829.8603435821. The cubic root of 61306713 is about 394.3083832835.

The spelling of 61306713 in words is "sixty-one million, three hundred six thousand, seven hundred thirteen".