1135032413641 has 9 divisors (see below), whose sum is σ = 1320352503399. Its totient is φ = 972878533704.

The previous prime is 1135032413609. The next prime is 1135032413743. The reversal of 1135032413641 is 1463142305311.

The square root of 1135032413641 is 1065379.

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., 797243623225 + 337788790416 = 892885^2 + 581196^2 .

It is not a de Polignac number, because 1135032413641 - 2⁵ = 1135032413609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1135032413597 and 1135032413606.

It is not an unprimeable number, because it can be changed into a prime (1135032413341) 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, 7381555 + ... + 7533751.

It is an arithmetic number, because the mean of its divisors is an integer number (146705833711).

Almost surely, 2^{1135032413641} is an apocalyptic number.

1135032413641 is the 1065379-th square number.

1135032413641 is the 532690-th centered octagonal number.

It is an amenable number.

1135032413641 is a deficient number, since it is larger than the sum of its proper divisors (185320089758).

1135032413641 is an frugal number, since it uses more digits than its factorization.

1135032413641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304408 (or 152204 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

Adding to 1135032413641 its reverse (1463142305311), we get a palindrome (2598174718952).

The spelling of 1135032413641 in words is "one trillion, one hundred thirty-five billion, thirty-two million, four hundred thirteen thousand, six hundred forty-one".