2001511461161 has 2 divisors, whose sum is σ = 2001511461162. Its totient is φ = 2001511461160.

The previous prime is 2001511461149. The next prime is 2001511461163. The reversal of 2001511461161 is 1611641151002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1819571677225 + 181939783936 = 1348915^2 + 426544^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001511461161 - 2³⁰ = 2000437719337 is a prime.

It is a super-2 number, since 2×2001511461161² (a number of 25 digits) contains 22 as substring.

Together with 2001511461163, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2001511461163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000755730580 + 1000755730581.

It is an arithmetic number, because the mean of its divisors is an integer number (1000755730581).

Almost surely, 2^{2001511461161} is an apocalyptic number.

It is an amenable number.

2001511461161 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001511461161 is an equidigital number, since it uses as much as digits as its factorization.

2001511461161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440, while the sum is 29.

The spelling of 2001511461161 in words is "two trillion, one billion, five hundred eleven million, four hundred sixty-one thousand, one hundred sixty-one".