1312582656 has 352 divisors, whose sum is σ = 4527636480. Its totient is φ = 328089600.

The previous prime is 1312582637. The next prime is 1312582657. The reversal of 1312582656 is 6562852131.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312582657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7332775 + ... + 7332953.

Almost surely, 2^1312582656 is an apocalyptic number.

1312582656 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 1312582656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263818240).

1312582656 is an abundant number, since it is smaller than the sum of its proper divisors (3215053824).

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

1312582656 is a wasteful number, since it uses less digits than its factorization.

1312582656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 233 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 1312582656 is about 36229.5826086915. The cubic root of 1312582656 is about 1094.9027682060.

The spelling of 1312582656 in words is "one billion, three hundred twelve million, five hundred eighty-two thousand, six hundred fifty-six".