1312952256 has 252 divisors, whose sum is σ = 4776871320. Its totient is φ = 340945920.

The previous prime is 1312952243. The next prime is 1312952257. The reversal of 1312952256 is 6522592131.

It is a happy number.

1312952256 is a `hidden beast` number, since 1 + 3 + 129 + 522 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 1312952256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312952257) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 308350 + ... + 312578.

Almost surely, 2^1312952256 is an apocalyptic number.

1312952256 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 1312952256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388435660).

1312952256 is an abundant number, since it is smaller than the sum of its proper divisors (3463919064).

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

1312952256 is a wasteful number, since it uses less digits than its factorization.

1312952256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4272 (or 4252 counting only the distinct ones).

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

The square root of 1312952256 is about 36234.6830536711. The cubic root of 1312952256 is about 1095.0055269628.

The spelling of 1312952256 in words is "one billion, three hundred twelve million, nine hundred fifty-two thousand, two hundred fifty-six".