417874081553 has 2 divisors, whose sum is σ = 417874081554. Its totient is φ = 417874081552.

The previous prime is 417874081517. The next prime is 417874081577. The reversal of 417874081553 is 355180478714.

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., 364878818704 + 52995262849 = 604052^2 + 230207^2 .

It is a cyclic number.

It is not a de Polignac number, because 417874081553 - 2⁶ = 417874081489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 417874081495 and 417874081504.

It is not a weakly prime, because it can be changed into another prime (417874281553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208937040776 + 208937040777.

It is an arithmetic number, because the mean of its divisors is an integer number (208937040777).

Almost surely, 2^417874081553 is an apocalyptic number.

It is an amenable number.

417874081553 is a deficient number, since it is larger than the sum of its proper divisors (1).

417874081553 is an equidigital number, since it uses as much as digits as its factorization.

417874081553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3763200, while the sum is 53.

The spelling of 417874081553 in words is "four hundred seventeen billion, eight hundred seventy-four million, eighty-one thousand, five hundred fifty-three".