45405135617 has 2 divisors, whose sum is σ = 45405135618. Its totient is φ = 45405135616.

The previous prime is 45405135551. The next prime is 45405135649. The reversal of 45405135617 is 71653150454.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44607129616 + 798006001 = 211204^2 + 28249^2 .

It is a cyclic number.

It is not a de Polignac number, because 45405135617 - 2²⁶ = 45338026753 is a prime.

It is not a weakly prime, because it can be changed into another prime (45405135697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22702567808 + 22702567809.

It is an arithmetic number, because the mean of its divisors is an integer number (22702567809).

Almost surely, 2^45405135617 is an apocalyptic number.

It is an amenable number.

45405135617 is a deficient number, since it is larger than the sum of its proper divisors (1).

45405135617 is an equidigital number, since it uses as much as digits as its factorization.

45405135617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252000, while the sum is 41.

The spelling of 45405135617 in words is "forty-five billion, four hundred five million, one hundred thirty-five thousand, six hundred seventeen".