1013633052 has 48 divisors (see below), whose sum is σ = 2511720960. Its totient is φ = 317253888.

The previous prime is 1013633051. The next prime is 1013633059. The reversal of 1013633052 is 2503363101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013633051) 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, 6093 + ... + 45435.

It is an arithmetic number, because the mean of its divisors is an integer number (52327520).

Almost surely, 2^1013633052 is an apocalyptic number.

1013633052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013633052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255860480).

1013633052 is an abundant number, since it is smaller than the sum of its proper divisors (1498087908).

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

1013633052 is a wasteful number, since it uses less digits than its factorization.

1013633052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39482 (or 39480 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 1013633052 is about 31837.6043696758. The cubic root of 1013633052 is about 1004.5238545461.

Adding to 1013633052 its reverse (2503363101), we get a palindrome (3516996153).

The spelling of 1013633052 in words is "one billion, thirteen million, six hundred thirty-three thousand, fifty-two".