2005053205401 has 12 divisors (see below), whose sum is σ = 2974463314212. Its totient is φ = 1300575051936.

The previous prime is 2005053205381. The next prime is 2005053205411. The reversal of 2005053205401 is 1045023505002.

It is a happy number.

2005053205401 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 0 + 53 + 205 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 779072787801 + 1225980417600 = 882651^2 + 1107240^2 .

It is not a de Polignac number, because 2005053205401 - 2¹⁰ = 2005053204377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2005053205411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3010590066 + ... + 3010590731.

It is an arithmetic number, because the mean of its divisors is an integer number (247871942851).

Almost surely, 2^{2005053205401} is an apocalyptic number.

It is an amenable number.

2005053205401 is a deficient number, since it is larger than the sum of its proper divisors (969410108811).

2005053205401 is a wasteful number, since it uses less digits than its factorization.

2005053205401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6021180840 (or 6021180837 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 2005053205401 in words is "two trillion, five billion, fifty-three million, two hundred five thousand, four hundred one".