563405510601336 has 256 divisors, whose sum is σ = 1613445065487360. Its totient is φ = 162411035074560.

The previous prime is 563405510601257. The next prime is 563405510601347. The reversal of 563405510601336 is 633106015504365.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7461199821 + ... + 7461275331.

It is an arithmetic number, because the mean of its divisors is an integer number (6302519787060).

Almost surely, 2^{563405510601336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563405510601336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806722532743680).

563405510601336 is an abundant number, since it is smaller than the sum of its proper divisors (1050039554886024).

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

563405510601336 is a wasteful number, since it uses less digits than its factorization.

563405510601336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81974 (or 81970 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 48.

The spelling of 563405510601336 in words is "five hundred sixty-three trillion, four hundred five billion, five hundred ten million, six hundred one thousand, three hundred thirty-six".