7205536281969 has 63 divisors (see below), whose sum is σ = 11107370290107. Its totient is φ = 4672121937264.

The previous prime is 7205536281959. The next prime is 7205536282013. The reversal of 7205536281969 is 9691826355027.

The square root of 7205536281969 is 2684313.

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

7205536281969 is a `hidden beast` number, since 7 + 2 + 0 + 5 + 536 + 2 + 8 + 1 + 96 + 9 = 666.

7205536281969 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6447612816225 + 757923465744 = 2539215^2 + 870588^2 .

It is not a de Polignac number, because 7205536281969 - 2³⁹ = 6655780468081 is a prime.

It is a super-2 number, since 2×7205536281969² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7205536281959) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2681627344 + ... + 2681630030.

Almost surely, 2^{7205536281969} is an apocalyptic number.

7205536281969 is the 2684313-rd square number.

7205536281969 is the 1342157-th centered octagonal number.

It is an amenable number.

7205536281969 is a deficient number, since it is larger than the sum of its proper divisors (3901834008138).

7205536281969 is an frugal number, since it uses more digits than its factorization.

7205536281969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5466 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 7205536281969 in words is "seven trillion, two hundred five billion, five hundred thirty-six million, two hundred eighty-one thousand, nine hundred sixty-nine".