1311429952 has 112 divisors (see below), whose sum is σ = 3107496960. Its totient is φ = 537292800.

The previous prime is 1311429937. The next prime is 1311430069. The reversal of 1311429952 is 2599241131.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1235502 + ... + 1236562.

Almost surely, 2^1311429952 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 1311429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553748480).

1311429952 is an abundant number, since it is smaller than the sum of its proper divisors (1796067008).

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

1311429952 is a wasteful number, since it uses less digits than its factorization.

1311429952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1190 counting only the distinct ones).

The product of its digits is 19440, while the sum is 37.

The square root of 1311429952 is about 36213.6707888057. The cubic root of 1311429952 is about 1094.5821614918.

The spelling of 1311429952 in words is "one billion, three hundred eleven million, four hundred twenty-nine thousand, nine hundred fifty-two".