1312509079296 has 216 divisors, whose sum is σ = 3809176128576. Its totient is φ = 434635407360.

The previous prime is 1312509079229. The next prime is 1312509079333. The reversal of 1312509079296 is 6929709052131.

1312509079296 is a `hidden beast` number, since 1 + 31 + 250 + 9 + 0 + 79 + 296 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228537801 + ... + 228543543.

Almost surely, 2^{1312509079296} is an apocalyptic number.

1312509079296 is a gapful number since it is divisible by the number (16) 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 1312509079296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904588064288).

1312509079296 is an abundant number, since it is smaller than the sum of its proper divisors (2496667049280).

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

1312509079296 is a wasteful number, since it uses less digits than its factorization.

1312509079296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6399 (or 6382 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 1312509079296 in words is "one trillion, three hundred twelve billion, five hundred nine million, seventy-nine thousand, two hundred ninety-six".