1329313536 has 108 divisors (see below), whose sum is σ = 3848688480. Its totient is φ = 441262080.

The previous prime is 1329313519. The next prime is 1329313561. The reversal of 1329313536 is 6353139231.

1329313536 is a `hidden beast` number, since 1 + 32 + 93 + 1 + 3 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1329313536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 623320 + ... + 625448.

Almost surely, 2^1329313536 is an apocalyptic number.

1329313536 is a gapful number since it is divisible by the number (16) 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 1329313536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924344240).

1329313536 is an abundant number, since it is smaller than the sum of its proper divisors (2519374944).

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

1329313536 is a wasteful number, since it uses less digits than its factorization.

1329313536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2405 counting only the distinct ones).

The product of its digits is 43740, while the sum is 36.

The square root of 1329313536 is about 36459.7522756258. The cubic root of 1329313536 is about 1099.5352130059.

The spelling of 1329313536 in words is "one billion, three hundred twenty-nine million, three hundred thirteen thousand, five hundred thirty-six".