1009582848401 has 8 divisors (see below), whose sum is σ = 1044983833320. Its totient is φ = 974221049088.

The previous prime is 1009582848397. The next prime is 1009582848427. The reversal of 1009582848401 is 1048482859001.

It is a Cunningham number, because it is equal to 1004780²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 511619756176 + 497963092225 = 715276^2 + 705665^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1009582848401 - 2² = 1009582848397 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 1009582848401.

It is not an unprimeable number, because it can be changed into a prime (1009582808401) 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 7 ways as a sum of consecutive naturals, for example, 9743966 + ... + 9847031.

It is an arithmetic number, because the mean of its divisors is an integer number (130622979165).

Almost surely, 2^{1009582848401} is an apocalyptic number.

It is an amenable number.

1009582848401 is a deficient number, since it is larger than the sum of its proper divisors (35400984919).

1009582848401 is a wasteful number, since it uses less digits than its factorization.

1009582848401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19592803.

The product of its (nonzero) digits is 737280, while the sum is 50.

The spelling of 1009582848401 in words is "one trillion, nine billion, five hundred eighty-two million, eight hundred forty-eight thousand, four hundred one".