2001045335521 has 2 divisors, whose sum is σ = 2001045335522. Its totient is φ = 2001045335520.

The previous prime is 2001045335501. The next prime is 2001045335539. The reversal of 2001045335521 is 1255335401002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1824444518400 + 176600817121 = 1350720^2 + 420239^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001045335521 - 2¹³ = 2001045327329 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001045335501) 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 as a sum of consecutive naturals, namely, 1000522667760 + 1000522667761.

It is an arithmetic number, because the mean of its divisors is an integer number (1000522667761).

Almost surely, 2^{2001045335521} is an apocalyptic number.

It is an amenable number.

2001045335521 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001045335521 is an equidigital number, since it uses as much as digits as its factorization.

2001045335521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 2001045335521 in words is "two trillion, one billion, forty-five million, three hundred thirty-five thousand, five hundred twenty-one".