10506561333 has 8 divisors (see below), whose sum is σ = 14011087008. Its totient is φ = 7003204944.

The previous prime is 10506561319. The next prime is 10506561337. The reversal of 10506561333 is 33316560501.

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

It is not a de Polignac number, because 10506561333 - 2¹⁴ = 10506544949 is a prime.

It is a super-2 number, since 2×10506561333² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10506561294 and 10506561303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506561337) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 271135 + ... + 307452.

It is an arithmetic number, because the mean of its divisors is an integer number (1751385876).

Almost surely, 2^10506561333 is an apocalyptic number.

It is an amenable number.

10506561333 is a deficient number, since it is larger than the sum of its proper divisors (3504525675).

10506561333 is an equidigital number, since it uses as much as digits as its factorization.

10506561333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584643.

The product of its (nonzero) digits is 24300, while the sum is 33.

The spelling of 10506561333 in words is "ten billion, five hundred six million, five hundred sixty-one thousand, three hundred thirty-three".