1293132512 has 96 divisors (see below), whose sum is σ = 3045740544. Its totient is φ = 528768000.

The previous prime is 1293132493. The next prime is 1293132527. The reversal of 1293132512 is 2152313921.

It is a happy number.

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, 505637 + ... + 508187.

It is an arithmetic number, because the mean of its divisors is an integer number (31726464).

Almost surely, 2^1293132512 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 1293132512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522870272).

1293132512 is an abundant number, since it is smaller than the sum of its proper divisors (1752608032).

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

1293132512 is a wasteful number, since it uses less digits than its factorization.

1293132512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2664 counting only the distinct ones).

The product of its digits is 3240, while the sum is 29.

The square root of 1293132512 is about 35960.1517238179. The cubic root of 1293132512 is about 1089.4676613876.

The spelling of 1293132512 in words is "one billion, two hundred ninety-three million, one hundred thirty-two thousand, five hundred twelve".