1312549056 has 448 divisors, whose sum is σ = 5038709760. Its totient is φ = 325140480.

The previous prime is 1312549037. The next prime is 1312549057. The reversal of 1312549056 is 6509452131.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1312549056² = 3445570048812982272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1312549056.

It is not an unprimeable number, because it can be changed into a prime (1312549057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2672971 + ... + 2673461.

It is an arithmetic number, because the mean of its divisors is an integer number (11247120).

Almost surely, 2^1312549056 is an apocalyptic number.

1312549056 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 1312549056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519354880).

1312549056 is an abundant number, since it is smaller than the sum of its proper divisors (3726160704).

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

1312549056 is a wasteful number, since it uses less digits than its factorization.

1312549056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1312549056 is about 36229.1188962691. The cubic root of 1312549056 is about 1094.8934255443.

The spelling of 1312549056 in words is "one billion, three hundred twelve million, five hundred forty-nine thousand, fifty-six".