133288517569 has 9 divisors (see below), whose sum is σ = 137738540451. Its totient is φ = 128977935360.

The previous prime is 133288517567. The next prime is 133288517617. The reversal of 133288517569 is 965715882331.

It is a happy number.

The square root of 133288517569 is 365087.

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., 93333305025 + 39955212544 = 305505^2 + 199888^2 .

It is not a de Polignac number, because 133288517569 - 2¹ = 133288517567 is a prime.

It is a super-2 number, since 2×133288517569² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133288517567) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11311809 + ... + 11323585.

Almost surely, 2^133288517569 is an apocalyptic number.

133288517569 is the 365087-th square number.

133288517569 is the 182544-th centered octagonal number.

It is an amenable number.

133288517569 is a deficient number, since it is larger than the sum of its proper divisors (4450022882).

133288517569 is an frugal number, since it uses more digits than its factorization.

133288517569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23616 (or 11808 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 58.

The spelling of 133288517569 in words is "one hundred thirty-three billion, two hundred eighty-eight million, five hundred seventeen thousand, five hundred sixty-nine".