61408013 has 2 divisors, whose sum is σ = 61408014. Its totient is φ = 61408012.

The previous prime is 61408007. The next prime is 61408021. The reversal of 61408013 is 31080416.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57805609 + 3602404 = 7603^2 + 1898^2 .

It is a cyclic number.

It is not a de Polignac number, because 61408013 - 2⁶ = 61407949 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p_3640640 and since 61408013 and 3640640 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61408013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61408073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30704006 + 30704007.

It is an arithmetic number, because the mean of its divisors is an integer number (30704007).

Almost surely, 2^61408013 is an apocalyptic number.

It is an amenable number.

61408013 is a deficient number, since it is larger than the sum of its proper divisors (1).

61408013 is an equidigital number, since it uses as much as digits as its factorization.

61408013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 61408013 is about 7836.3264990683. The cubic root of 61408013 is about 394.5254419453.

Adding to 61408013 its reverse (31080416), we get a palindrome (92488429).

The spelling of 61408013 in words is "sixty-one million, four hundred eight thousand, thirteen".