63135362004561 has 192 divisors, whose sum is σ = 116691256281600. Its totient is φ = 31945101926400.

The previous prime is 63135362004529. The next prime is 63135362004581. The reversal of 63135362004561 is 16540026353136.

63135362004561 is a `hidden beast` number, since 6 + 3 + 1 + 35 + 36 + 20 + 0 + 4 + 561 = 666.

It is not a de Polignac number, because 63135362004561 - 2⁵ = 63135362004529 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (63135362004581) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11136945835 + ... + 11136951503.

It is an arithmetic number, because the mean of its divisors is an integer number (607766959800).

Almost surely, 2^{63135362004561} is an apocalyptic number.

63135362004561 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

63135362004561 is a deficient number, since it is larger than the sum of its proper divisors (53555894277039).

63135362004561 is a wasteful number, since it uses less digits than its factorization.

63135362004561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8280 (or 8277 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

Adding to 63135362004561 its reverse (16540026353136), we get a palindrome (79675388357697).

The spelling of 63135362004561 in words is "sixty-three trillion, one hundred thirty-five billion, three hundred sixty-two million, four thousand, five hundred sixty-one".