553233522000105 has 48 divisors (see below), whose sum is σ = 961727191785360. Its totient is φ = 294200056848384.

The previous prime is 553233522000097. The next prime is 553233522000163. The reversal of 553233522000105 is 501000225332355.

553233522000105 is a `hidden beast` number, since 5 + 5 + 3 + 23 + 3 + 522 + 0 + 0 + 0 + 105 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 182340002108889 + 370893519891216 = 13503333^2 + 19258596^2 .

It is not a de Polignac number, because 553233522000105 - 2³ = 553233522000097 is a prime.

It is a super-2 number, since 2×553233522000105² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 553233522000105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70267257 + ... + 77742873.

It is an arithmetic number, because the mean of its divisors is an integer number (20035983162195).

Almost surely, 2^{553233522000105} is an apocalyptic number.

It is an amenable number.

553233522000105 is a deficient number, since it is larger than the sum of its proper divisors (408493669785255).

553233522000105 is a wasteful number, since it uses less digits than its factorization.

553233522000105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7480410 (or 7480407 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 553233522000105 in words is "five hundred fifty-three trillion, two hundred thirty-three billion, five hundred twenty-two million, one hundred five", and thus it is an aban number.