10005515453201 has 8 divisors (see below), whose sum is σ = 10278641264040. Its totient is φ = 9732532088448.

The previous prime is 10005515453189. The next prime is 10005515453243. The reversal of 10005515453201 is 10235451550001.

It can be written as a sum of positive squares in 4 ways, for example, as 100653907600 + 9904861545601 = 317260^2 + 3147199^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10005515453201 is a prime.

It is a super-2 number, since 2×10005515453201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10005515452201) 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, 35469116 + ... + 35750093.

It is an arithmetic number, because the mean of its divisors is an integer number (1284830158005).

Almost surely, 2^{10005515453201} is an apocalyptic number.

It is an amenable number.

10005515453201 is a deficient number, since it is larger than the sum of its proper divisors (273125810839).

10005515453201 is an equidigital number, since it uses as much as digits as its factorization.

10005515453201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71223043.

The product of its (nonzero) digits is 15000, while the sum is 32.

The spelling of 10005515453201 in words is "ten trillion, five billion, five hundred fifteen million, four hundred fifty-three thousand, two hundred one".