359583720409 has 9 divisors (see below), whose sum is σ = 361690519869. Its totient is φ = 357489132480.

The previous prime is 359583720337. The next prime is 359583720421. The reversal of 359583720409 is 904027385953.

The square root of 359583720409 is 599653.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10742286025 + 348841434384 = 103645^2 + 590628^2 .

It is a de Polignac number, because none of the positive numbers 2^k-359583720409 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 359583720409.

It is not an unprimeable number, because it can be changed into a prime (359583720109) 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, 108535537 + ... + 108538849.

It is an arithmetic number, because the mean of its divisors is an integer number (40187835541).

Almost surely, 2^359583720409 is an apocalyptic number.

359583720409 is the 599653-rd square number.

359583720409 is the 299827-th centered octagonal number.

It is an amenable number.

359583720409 is a deficient number, since it is larger than the sum of its proper divisors (2106799460).

359583720409 is an frugal number, since it uses more digits than its factorization.

359583720409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6988 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 55.

The spelling of 359583720409 in words is "three hundred fifty-nine billion, five hundred eighty-three million, seven hundred twenty thousand, four hundred nine".