1268553663 has 64 divisors (see below), whose sum is σ = 2075673600. Its totient is φ = 760959360.

The previous prime is 1268553659. The next prime is 1268553673. The reversal of 1268553663 is 3663558621.

It is not a de Polignac number, because 1268553663 - 2² = 1268553659 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268553673) 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, 2716156 + ... + 2716622.

It is an arithmetic number, because the mean of its divisors is an integer number (32432400).

Almost surely, 2^1268553663 is an apocalyptic number.

1268553663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1268553663 is a deficient number, since it is larger than the sum of its proper divisors (807119937).

1268553663 is a wasteful number, since it uses less digits than its factorization.

1268553663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 663 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 1268553663 is about 35616.7609841209. The cubic root of 1268553663 is about 1082.5208782978.

It can be divided in two parts, 1268 and 553663, that added together give a triangular number (554931 = T₁₀₅₃).

The spelling of 1268553663 in words is "one billion, two hundred sixty-eight million, five hundred fifty-three thousand, six hundred sixty-three".