563004121516553 has 16 divisors (see below), whose sum is σ = 564640050172800. Its totient is φ = 561369520932480.

The previous prime is 563004121516523. The next prime is 563004121516633. The reversal of 563004121516553 is 355615121400365.

It is a cyclic number.

It is not a de Polignac number, because 563004121516553 - 2²⁰ = 563004120467977 is a prime.

It is a super-3 number, since 3×563004121516553³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 563004121516498 and 563004121516507.

It is not an unprimeable number, because it can be changed into a prime (563004121516523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8293708550 + ... + 8293776432.

It is an arithmetic number, because the mean of its divisors is an integer number (35290003135800).

Almost surely, 2^{563004121516553} is an apocalyptic number.

It is an amenable number.

563004121516553 is a deficient number, since it is larger than the sum of its proper divisors (1635928656247).

563004121516553 is a wasteful number, since it uses less digits than its factorization.

563004121516553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77312.

The product of its (nonzero) digits is 1620000, while the sum is 47.

The spelling of 563004121516553 in words is "five hundred sixty-three trillion, four billion, one hundred twenty-one million, five hundred sixteen thousand, five hundred fifty-three".