1359584121 has 32 divisors (see below), whose sum is σ = 2187059200. Its totient is φ = 735937488.

The previous prime is 1359584117. The next prime is 1359584147. The reversal of 1359584121 is 1214859531.

It is not a de Polignac number, because 1359584121 - 2² = 1359584117 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 1359584121.

It is not an unprimeable number, because it can be changed into a prime (1359584101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139320 + ... + 148758.

It is an arithmetic number, because the mean of its divisors is an integer number (68345600).

Almost surely, 2^1359584121 is an apocalyptic number.

It is an amenable number.

1359584121 is a deficient number, since it is larger than the sum of its proper divisors (827475079).

1359584121 is an frugal number, since it uses more digits than its factorization.

1359584121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9506 (or 9468 counting only the distinct ones).

The product of its digits is 43200, while the sum is 39.

The square root of 1359584121 is about 36872.5388466810. The cubic root of 1359584121 is about 1107.8187071152.

The spelling of 1359584121 in words is "one billion, three hundred fifty-nine million, five hundred eighty-four thousand, one hundred twenty-one".