1329125952 has 224 divisors, whose sum is σ = 4426573824. Its totient is φ = 344762880.

The previous prime is 1329125947. The next prime is 1329125953. The reversal of 1329125952 is 2595219231.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 1329125952.

It is not an unprimeable number, because it can be changed into a prime (1329125953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1788493 + ... + 1789235.

Almost surely, 2^1329125952 is an apocalyptic number.

1329125952 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 1329125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213286912).

1329125952 is an abundant number, since it is smaller than the sum of its proper divisors (3097447872).

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

1329125952 is an equidigital number, since it uses as much as digits as its factorization.

1329125952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 766 counting only the distinct ones).

The product of its digits is 48600, while the sum is 39.

The square root of 1329125952 is about 36457.1797044149. The cubic root of 1329125952 is about 1099.4834908425.

The spelling of 1329125952 in words is "one billion, three hundred twenty-nine million, one hundred twenty-five thousand, nine hundred fifty-two".