1293536256 has 264 divisors, whose sum is σ = 3861067776. Its totient is φ = 384368640.

The previous prime is 1293536249. The next prime is 1293536263. The reversal of 1293536256 is 6526353921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1293536249) and next prime (1293536263).

Its product of digits (291600) is a multiple of the sum of its prime divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27522025 + ... + 27522071.

Almost surely, 2^1293536256 is an apocalyptic number.

1293536256 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 1293536256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930533888).

1293536256 is an abundant number, since it is smaller than the sum of its proper divisors (2567531520).

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

1293536256 is a wasteful number, since it uses less digits than its factorization.

1293536256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 100 counting only the distinct ones).

The product of its digits is 291600, while the sum is 42.

The square root of 1293536256 is about 35965.7650551187. The cubic root of 1293536256 is about 1089.5810347289.

The spelling of 1293536256 in words is "one billion, two hundred ninety-three million, five hundred thirty-six thousand, two hundred fifty-six".