133782529 has 2 divisors, whose sum is σ = 133782530. Its totient is φ = 133782528.

The previous prime is 133782511. The next prime is 133782533. The reversal of 133782529 is 925287331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73564929 + 60217600 = 8577^2 + 7760^2 .

It is an emirp because it is prime and its reverse (925287331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133782529 - 2¹¹ = 133780481 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133782491 and 133782500.

It is not a weakly prime, because it can be changed into another prime (133782569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66891264 + 66891265.

It is an arithmetic number, because the mean of its divisors is an integer number (66891265).

Almost surely, 2^133782529 is an apocalyptic number.

It is an amenable number.

133782529 is a deficient number, since it is larger than the sum of its proper divisors (1).

133782529 is an equidigital number, since it uses as much as digits as its factorization.

133782529 is an evil number, because the sum of its binary digits is even.

The product of its digits is 90720, while the sum is 40.

The square root of 133782529 is about 11566.4397720301. The cubic root of 133782529 is about 511.4460166618.

The spelling of 133782529 in words is "one hundred thirty-three million, seven hundred eighty-two thousand, five hundred twenty-nine".