10506000610563 has 8 divisors (see below), whose sum is σ = 14008035119376. Its totient is φ = 7003983254400.

The previous prime is 10506000610561. The next prime is 10506000610619. The reversal of 10506000610563 is 36501600060501.

10506000610563 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10506000610563 - 2¹ = 10506000610561 is a prime.

It is a super-2 number, since 2×10506000610563² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10506000610561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2783578 + ... + 5362863.

It is an arithmetic number, because the mean of its divisors is an integer number (1751004389922).

Almost surely, 2^{10506000610563} is an apocalyptic number.

10506000610563 is a deficient number, since it is larger than the sum of its proper divisors (3502034508813).

10506000610563 is an equidigital number, since it uses as much as digits as its factorization.

10506000610563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8576325.

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 10506000610563 in words is "ten trillion, five hundred six billion, six hundred ten thousand, five hundred sixty-three".