9953842010841 has 27 divisors (see below), whose sum is σ = 14455306847709. Its totient is φ = 6600300291072.

The previous prime is 9953842010779. The next prime is 9953842010873. The reversal of 9953842010841 is 1480102483599.

It is a happy number.

The square root of 9953842010841 is 3154971.

It is a perfect power (a square), and thus also a powerful number.

9953842010841 is a `hidden beast` number, since 9 + 9 + 538 + 4 + 20 + 1 + 0 + 84 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4416743576025 + 5537098434816 = 2101605^2 + 2353104^2 .

It is not a de Polignac number, because 9953842010841 - 2⁷ = 9953842010713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9953842014841) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1826725485 + ... + 1826730933.

Almost surely, 2^{9953842010841} is an apocalyptic number.

9953842010841 is the 3154971-st square number.

9953842010841 is the 1577486-th centered octagonal number.

It is an amenable number.

9953842010841 is a deficient number, since it is larger than the sum of its proper divisors (4501464836868).

9953842010841 is an frugal number, since it uses more digits than its factorization.

9953842010841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11290 (or 5645 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 9953842010841 in words is "nine trillion, nine hundred fifty-three billion, eight hundred forty-two million, ten thousand, eight hundred forty-one".