1291133952 has 352 divisors, whose sum is σ = 4209287040. Its totient is φ = 389283840.

The previous prime is 1291133951. The next prime is 1291133971. The reversal of 1291133952 is 2593311921.

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

It is not an unprimeable number, because it can be changed into a prime (1291133951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19270623 + ... + 19270689.

Almost surely, 2^1291133952 is an apocalyptic number.

1291133952 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 1291133952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104643520).

1291133952 is an abundant number, since it is smaller than the sum of its proper divisors (2918153088).

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

1291133952 is a wasteful number, since it uses less digits than its factorization.

1291133952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 1291133952 is about 35932.3524417759. The cubic root of 1291133952 is about 1088.9061079110.

The spelling of 1291133952 in words is "one billion, two hundred ninety-one million, one hundred thirty-three thousand, nine hundred fifty-two".