2001526361 has 2 divisors, whose sum is σ = 2001526362. Its totient is φ = 2001526360.

The previous prime is 2001526357. The next prime is 2001526363. The reversal of 2001526361 is 1636251002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1885296400 + 116229961 = 43420^2 + 10781^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001526361 - 2² = 2001526357 is a prime.

It is a super-2 number, since 2×2001526361² = 8012215547555804642, which contains 22 as substring.

Together with 2001526363, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2001526361.

It is not a weakly prime, because it can be changed into another prime (2001526363) 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 as a sum of consecutive naturals, namely, 1000763180 + 1000763181.

It is an arithmetic number, because the mean of its divisors is an integer number (1000763181).

Almost surely, 2^2001526361 is an apocalyptic number.

It is an amenable number.

2001526361 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001526361 is an equidigital number, since it uses as much as digits as its factorization.

2001526361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 2001526361 is about 44738.4215300451. The cubic root of 2001526361 is about 1260.2414841179.

Adding to 2001526361 its reverse (1636251002), we get a palindrome (3637777363).

The spelling of 2001526361 in words is "two billion, one million, five hundred twenty-six thousand, three hundred sixty-one".