419713509609 has 27 divisors (see below), whose sum is σ = 644063241783. Its totient is φ = 263328921792.

The previous prime is 419713509581. The next prime is 419713509671. The reversal of 419713509609 is 906905317914.

The square root of 419713509609 is 647853.

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

419713509609 is a `hidden beast` number, since 4 + 1 + 9 + 71 + 3 + 509 + 60 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 326766573225 + 92946936384 = 571635^2 + 304872^2 .

It is not a de Polignac number, because 419713509609 - 2¹⁵ = 419713476841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (419713509689) 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 in 26 ways as a sum of consecutive naturals, for example, 33034152 + ... + 33046854.

Almost surely, 2^419713509609 is an apocalyptic number.

419713509609 is the 647853-rd square number.

419713509609 is the 323927-th centered octagonal number.

It is an amenable number.

419713509609 is a deficient number, since it is larger than the sum of its proper divisors (224349732174).

419713509609 is an frugal number, since it uses more digits than its factorization.

419713509609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25446 (or 12723 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 419713509609 in words is "four hundred nineteen billion, seven hundred thirteen million, five hundred nine thousand, six hundred nine".