1020135032 has 64 divisors (see below), whose sum is σ = 2242302720. Its totient is φ = 426083328.

The previous prime is 1020135019. The next prime is 1020135037. The reversal of 1020135032 is 2305310201.

1020135032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1020135032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020135037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362543 + ... + 365345.

It is an arithmetic number, because the mean of its divisors is an integer number (35035980).

Almost surely, 2^1020135032 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 1020135032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121151360).

1020135032 is an abundant number, since it is smaller than the sum of its proper divisors (1222167688).

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

1020135032 is a wasteful number, since it uses less digits than its factorization.

1020135032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1020135032 is about 31939.5527833437. The cubic root of 1020135032 is about 1006.6671279523.

Adding to 1020135032 its reverse (2305310201), we get a palindrome (3325445233).

The spelling of 1020135032 in words is "one billion, twenty million, one hundred thirty-five thousand, thirty-two".