1135829457009 has 45 divisors (see below), whose sum is σ = 1837492369713. Its totient is φ = 698895239328.

The previous prime is 1135829457001. The next prime is 1135829457031. The reversal of 1135829457009 is 9007549285311.

It is a happy number.

The square root of 1135829457009 is 1065753.

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

1135829457009 is a `hidden beast` number, since 1 + 1 + 3 + 582 + 9 + 4 + 57 + 0 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 622497330225 + 513332126784 = 788985^2 + 716472^2 .

It is not a de Polignac number, because 1135829457009 - 2³ = 1135829457001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1135829457001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 124688547 + ... + 124697655.

Almost surely, 2^{1135829457009} is an apocalyptic number.

1135829457009 is the 1065753-rd square number.

1135829457009 is the 532877-th centered octagonal number.

It is an amenable number.

1135829457009 is a deficient number, since it is larger than the sum of its proper divisors (701662912704).

1135829457009 is an frugal number, since it uses more digits than its factorization.

1135829457009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18256 (or 9125 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 1135829457009 in words is "one trillion, one hundred thirty-five billion, eight hundred twenty-nine million, four hundred fifty-seven thousand, nine".