1013135525 has 24 divisors (see below), whose sum is σ = 1290453120. Its totient is φ = 788668160.

The previous prime is 1013135509. The next prime is 1013135531. The reversal of 1013135525 is 5255313101.

It is a happy number.

1013135525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1013135525 - 2⁴ = 1013135509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013135494 and 1013135503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207917 + ... + 212733.

It is an arithmetic number, because the mean of its divisors is an integer number (53768880).

Almost surely, 2^1013135525 is an apocalyptic number.

It is an amenable number.

1013135525 is a deficient number, since it is larger than the sum of its proper divisors (277317595).

1013135525 is a wasteful number, since it uses less digits than its factorization.

1013135525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053 (or 5048 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 26.

The square root of 1013135525 is about 31829.7898987725. The cubic root of 1013135525 is about 1004.3594756877.

Adding to 1013135525 its reverse (5255313101), we get a palindrome (6268448626).

The spelling of 1013135525 in words is "one billion, thirteen million, one hundred thirty-five thousand, five hundred twenty-five".