581581005961 has 2 divisors, whose sum is σ = 581581005962. Its totient is φ = 581581005960.

The previous prime is 581581005959. The next prime is 581581006007. The reversal of 581581005961 is 169500185185.

581581005961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 505031950336 + 76549055625 = 710656^2 + 276675^2 .

It is a cyclic number.

It is not a de Polignac number, because 581581005961 - 2¹ = 581581005959 is a prime.

Together with 581581005959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (581581000961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 290790502980 + 290790502981.

It is an arithmetic number, because the mean of its divisors is an integer number (290790502981).

Almost surely, 2^581581005961 is an apocalyptic number.

It is an amenable number.

581581005961 is a deficient number, since it is larger than the sum of its proper divisors (1).

581581005961 is an equidigital number, since it uses as much as digits as its factorization.

581581005961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432000, while the sum is 49.

The spelling of 581581005961 in words is "five hundred eighty-one billion, five hundred eighty-one million, five thousand, nine hundred sixty-one".