10506181612821 has 8 divisors (see below), whose sum is σ = 14009798484864. Its totient is φ = 7003342908000.

The previous prime is 10506181612813. The next prime is 10506181612841. The reversal of 10506181612821 is 12821618160501.

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

It is not a de Polignac number, because 10506181612821 - 2³ = 10506181612813 is a prime.

It is a super-2 number, since 2×10506181612821² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506181612811) 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, 194510301 + ... + 194564306.

It is an arithmetic number, because the mean of its divisors is an integer number (1751224810608).

Almost surely, 2^{10506181612821} is an apocalyptic number.

It is an amenable number.

10506181612821 is a deficient number, since it is larger than the sum of its proper divisors (3503616872043).

10506181612821 is an equidigital number, since it uses as much as digits as its factorization.

10506181612821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389083611.

The product of its (nonzero) digits is 46080, while the sum is 42.

The spelling of 10506181612821 in words is "ten trillion, five hundred six billion, one hundred eighty-one million, six hundred twelve thousand, eight hundred twenty-one".