61624561 has 2 divisors, whose sum is σ = 61624562. Its totient is φ = 61624560.

The previous prime is 61624513. The next prime is 61624571. The reversal of 61624561 is 16542616.

61624561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58614336 + 3010225 = 7656^2 + 1735^2 .

It is a cyclic number.

It is not a de Polignac number, because 61624561 - 2²³ = 53235953 is a prime.

It is not a weakly prime, because it can be changed into another prime (61624501) 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 as a sum of consecutive naturals, namely, 30812280 + 30812281.

It is an arithmetic number, because the mean of its divisors is an integer number (30812281).

Almost surely, 2^61624561 is an apocalyptic number.

It is an amenable number.

61624561 is a deficient number, since it is larger than the sum of its proper divisors (1).

61624561 is an equidigital number, since it uses as much as digits as its factorization.

61624561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8640, while the sum is 31.

The square root of 61624561 is about 7850.1312727877. The cubic root of 61624561 is about 394.9886467922.

The spelling of 61624561 in words is "sixty-one million, six hundred twenty-four thousand, five hundred sixty-one".