13577143441 has 9 divisors (see below), whose sum is σ = 13715677521. Its totient is φ = 13439998224.

The previous prime is 13577143427. The next prime is 13577143453. The reversal of 13577143441 is 14434177531.

It is a happy number.

The square root of 13577143441 is 116521.

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 388917841 + 13188225600 = 19721^2 + 114840^2 .

It is not a de Polignac number, because 13577143441 - 2¹⁷ = 13577012369 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13577143394 and 13577143403.

It is not an unprimeable number, because it can be changed into a prime (13577143421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12700255 + ... + 12701323.

It is an arithmetic number, because the mean of its divisors is an integer number (1523964169).

Almost surely, 2^13577143441 is an apocalyptic number.

13577143441 is the 116521-st square number.

13577143441 is the 58261-st centered octagonal number.

It is an amenable number.

13577143441 is a deficient number, since it is larger than the sum of its proper divisors (138534080).

13577143441 is an frugal number, since it uses more digits than its factorization.

13577143441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 1178 counting only the distinct ones).

The product of its digits is 141120, while the sum is 40.

The spelling of 13577143441 in words is "thirteen billion, five hundred seventy-seven million, one hundred forty-three thousand, four hundred forty-one".