1013605632 has 216 divisors, whose sum is σ = 3224565344. Its totient is φ = 304238592.

The previous prime is 1013605613. The next prime is 1013605633. The reversal of 1013605632 is 2365063101.

1013605632 is a `hidden beast` number, since 10 + 13 + 6 + 0 + 5 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1013605596 and 1013605605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013605633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1287543 + ... + 1288329.

Almost surely, 2^1013605632 is an apocalyptic number.

1013605632 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 1013605632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612282672).

1013605632 is an abundant number, since it is smaller than the sum of its proper divisors (2210959712).

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

1013605632 is a wasteful number, since it uses less digits than its factorization.

1013605632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1013605632 is about 31837.1737439114. The cubic root of 1013605632 is about 1004.5147966027.

Adding to 1013605632 its reverse (2365063101), we get a palindrome (3378668733).

The spelling of 1013605632 in words is "one billion, thirteen million, six hundred five thousand, six hundred thirty-two".