45000577 has 2 divisors, whose sum is σ = 45000578. Its totient is φ = 45000576.

The previous prime is 45000563. The next prime is 45000583. The reversal of 45000577 is 77500054.

45000577 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., 44635761 + 364816 = 6681^2 + 604^2 .

It is a cyclic number.

It is not a de Polignac number, because 45000577 - 2²³ = 36611969 is a prime.

It is a plaindrome in base 11.

It is not a weakly prime, because it can be changed into another prime (45000517) 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, 22500288 + 22500289.

It is an arithmetic number, because the mean of its divisors is an integer number (22500289).

Almost surely, 2^45000577 is an apocalyptic number.

It is an amenable number.

45000577 is a deficient number, since it is larger than the sum of its proper divisors (1).

45000577 is an equidigital number, since it uses as much as digits as its factorization.

45000577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4900, while the sum is 28.

The square root of 45000577 is about 6708.2469394023. The cubic root of 45000577 is about 355.6908506851.

The spelling of 45000577 in words is "forty-five million, five hundred seventy-seven", and thus it is an aban number.