1031969952 has 288 divisors, whose sum is σ = 3384763200. Its totient is φ = 295612416.

The previous prime is 1031969941. The next prime is 1031969993. The reversal of 1031969952 is 2599691301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1031969898 and 1031969907.

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 47 ways as a sum of consecutive naturals, for example, 6331023 + ... + 6331185.

It is an arithmetic number, because the mean of its divisors is an integer number (11752650).

Almost surely, 2^1031969952 is an apocalyptic number.

1031969952 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 1031969952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692381600).

1031969952 is an abundant number, since it is smaller than the sum of its proper divisors (2352793248).

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

1031969952 is a wasteful number, since it uses less digits than its factorization.

1031969952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 1031969952 is about 32124.2891283216. The cubic root of 1031969952 is about 1010.5450614807.

The spelling of 1031969952 in words is "one billion, thirty-one million, nine hundred sixty-nine thousand, nine hundred fifty-two".