417017601361 has 9 divisors (see below), whose sum is σ = 418254024393. Its totient is φ = 415784828340.

The previous prime is 417017601349. The next prime is 417017601367. The reversal of 417017601361 is 163106710714.

The square root of 417017601361 is 645769.

It is a perfect power (a square), and thus also a powerful number.

It is a de Polignac number, because none of the positive numbers 2^k-417017601361 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 417017601361.

It is not an unprimeable number, because it can be changed into a prime (417017601367) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 283491856 + ... + 283493326.

It is an arithmetic number, because the mean of its divisors is an integer number (46472669377).

Almost surely, 2^417017601361 is an apocalyptic number.

417017601361 is the 645769-th square number.

417017601361 is the 322885-th centered octagonal number.

It is an amenable number.

417017601361 is a deficient number, since it is larger than the sum of its proper divisors (1236423032).

417017601361 is an frugal number, since it uses more digits than its factorization.

417017601361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The spelling of 417017601361 in words is "four hundred seventeen billion, seventeen million, six hundred one thousand, three hundred sixty-one".