1263354180561 has 72 divisors (see below), whose sum is σ = 2013041171232. Its totient is φ = 762918710400.

The previous prime is 1263354180547. The next prime is 1263354180581. The reversal of 1263354180561 is 1650814533621.

1263354180561 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 3 + 5 + 4 + 1 + 80 + 561 = 666.

It is not a de Polignac number, because 1263354180561 - 2¹⁵ = 1263354147793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1263354180581) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 442194645 + ... + 442197501.

It is an arithmetic number, because the mean of its divisors is an integer number (27958905156).

Almost surely, 2^{1263354180561} is an apocalyptic number.

1263354180561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1263354180561 is a deficient number, since it is larger than the sum of its proper divisors (749686990671).

1263354180561 is a wasteful number, since it uses less digits than its factorization.

1263354180561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203 (or 4189 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1263354180561 in words is "one trillion, two hundred sixty-three billion, three hundred fifty-four million, one hundred eighty thousand, five hundred sixty-one".