1013135552 has 112 divisors (see below), whose sum is σ = 2438790144. Its totient is φ = 411264000.

The previous prime is 1013135531. The next prime is 1013135567. The reversal of 1013135552 is 2555313101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281927 + ... + 285497.

It is an arithmetic number, because the mean of its divisors is an integer number (21774912).

Almost surely, 2^1013135552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219395072).

1013135552 is an abundant number, since it is smaller than the sum of its proper divisors (1425654592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1013135552 is a wasteful number, since it uses less digits than its factorization.

1013135552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3628 counting only the distinct ones).

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

The square root of 1013135552 is about 31829.7903229035. The cubic root of 1013135552 is about 1004.3594846098.

Adding to 1013135552 its reverse (2555313101), we get a palindrome (3568448653).

The spelling of 1013135552 in words is "one billion, thirteen million, one hundred thirty-five thousand, five hundred fifty-two".