45291350315917 has 2 divisors, whose sum is σ = 45291350315918. Its totient is φ = 45291350315916.

The previous prime is 45291350315837. The next prime is 45291350315989. The reversal of 45291350315917 is 71951305319254.

45291350315917 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., 29175348819241 + 16116001496676 = 5401421^2 + 4014474^2 .

It is a cyclic number.

It is not a de Polignac number, because 45291350315917 - 2¹⁵ = 45291350283149 is a prime.

It is a super-2 number, since 2×45291350315917² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45291350315017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22645675157958 + 22645675157959.

It is an arithmetic number, because the mean of its divisors is an integer number (22645675157959).

Almost surely, 2^{45291350315917} is an apocalyptic number.

It is an amenable number.

45291350315917 is a deficient number, since it is larger than the sum of its proper divisors (1).

45291350315917 is an equidigital number, since it uses as much as digits as its factorization.

45291350315917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5103000, while the sum is 55.

The spelling of 45291350315917 in words is "forty-five trillion, two hundred ninety-one billion, three hundred fifty million, three hundred fifteen thousand, nine hundred seventeen".