7583199645121 has 27 divisors (see below), whose sum is σ = 7891767186147. Its totient is φ = 7286451606000.

The previous prime is 7583199645097. The next prime is 7583199645127. The reversal of 7583199645121 is 1215469913857.

The square root of 7583199645121 is 2753761.

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., 35981916721 + 7547217728400 = 189689^2 + 2747220^2 .

It is not a de Polignac number, because 7583199645121 - 2¹¹ = 7583199643073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7583199645121.

It is not an unprimeable number, because it can be changed into a prime (7583199645127) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18012350491 + ... + 18012350911.

It is an arithmetic number, because the mean of its divisors is an integer number (292287673561).

Almost surely, 2^{7583199645121} is an apocalyptic number.

7583199645121 is the 2753761-st square number.

7583199645121 is the 1376881-st centered octagonal number.

It is an amenable number.

7583199645121 is a deficient number, since it is larger than the sum of its proper divisors (308567541026).

7583199645121 is an frugal number, since it uses more digits than its factorization.

7583199645121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 663 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 61.

The spelling of 7583199645121 in words is "seven trillion, five hundred eighty-three billion, one hundred ninety-nine million, six hundred forty-five thousand, one hundred twenty-one".