10053966298401 has 21 divisors (see below), whose sum is σ = 15074182082851. Its totient is φ = 6702587124552.

The previous prime is 10053966298309. The next prime is 10053966298463. The reversal of 10053966298401 is 10489266935001.

The square root of 10053966298401 is 3170799.

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

10053966298401 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 3 + 9 + 6 + 629 + 8 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9661995140625 + 391971157776 = 3108375^2 + 626076^2 .

It is not a de Polignac number, because 10053966298401 - 2³¹ = 10051818814753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10053966294401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 85552855 + ... + 85670291.

Almost surely, 2^{10053966298401} is an apocalyptic number.

10053966298401 is the 3170799-th square number.

10053966298401 is the 1585400-th centered octagonal number.

It is an amenable number.

10053966298401 is a deficient number, since it is larger than the sum of its proper divisors (5020215784450).

10053966298401 is an frugal number, since it uses more digits than its factorization.

10053966298401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234892 (or 117440 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 10053966298401 in words is "ten trillion, fifty-three billion, nine hundred sixty-six million, two hundred ninety-eight thousand, four hundred one".