419063317201 has 9 divisors (see below), whose sum is σ = 423014433051. Its totient is φ = 415148785704.

The previous prime is 419063317157. The next prime is 419063317241. The reversal of 419063317201 is 102713360914.

The square root of 419063317201 is 647351.

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

It can be written as a sum of positive squares in only one way, i.e., 292085121601 + 126978195600 = 540449^2 + 356340^2 .

It is not a de Polignac number, because 419063317201 - 2¹³ = 419063309009 is a prime.

It is a super-2 number, since 2×419063317201² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (419063317241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70558290 + ... + 70564228.

Almost surely, 2^419063317201 is an apocalyptic number.

419063317201 is the 647351-st square number.

419063317201 is the 323676-th centered octagonal number.

It is an amenable number.

419063317201 is a deficient number, since it is larger than the sum of its proper divisors (3951115850).

419063317201 is an frugal number, since it uses more digits than its factorization.

419063317201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12096 (or 6048 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 419063317201 in words is "four hundred nineteen billion, sixty-three million, three hundred seventeen thousand, two hundred one".