1563312256 has 48 divisors (see below), whose sum is σ = 3423312270. Its totient is φ = 710589440.

The previous prime is 1563312253. The next prime is 1563312259. The reversal of 1563312256 is 6522133651.

It is an interprime number because it is at equal distance from previous prime (1563312253) and next prime (1563312259).

It can be written as a sum of positive squares in only one way, i.e., 1519752256 + 43560000 = 38984^2 + 6600^2 .

It is not an unprimeable number, because it can be changed into a prime (1563312253) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 34981 + ... + 65956.

Almost surely, 2^1563312256 is an apocalyptic number.

1563312256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1563312256 is an abundant number, since it is smaller than the sum of its proper divisors (1860000014).

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

1563312256 is a wasteful number, since it uses less digits than its factorization.

1563312256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100973 (or 100950 counting only the distinct ones).

The product of its digits is 32400, while the sum is 34.

The square root of 1563312256 is about 39538.7437332043. The cubic root of 1563312256 is about 1160.5982486843.

It can be divided in two parts, 15633 and 12256, that added together give a square (27889 = 167²).

The spelling of 1563312256 in words is "one billion, five hundred sixty-three million, three hundred twelve thousand, two hundred fifty-six".