17905017961 has 2 divisors, whose sum is σ = 17905017962. Its totient is φ = 17905017960.

The previous prime is 17905017887. The next prime is 17905018003. The reversal of 17905017961 is 16971050971.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10940114025 + 6964903936 = 104595^2 + 83456^2 .

It is a cyclic number.

It is not a de Polignac number, because 17905017961 - 2²³ = 17896629353 is a prime.

It is not a weakly prime, because it can be changed into another prime (17905017461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8952508980 + 8952508981.

It is an arithmetic number, because the mean of its divisors is an integer number (8952508981).

Almost surely, 2^17905017961 is an apocalyptic number.

It is an amenable number.

17905017961 is a deficient number, since it is larger than the sum of its proper divisors (1).

17905017961 is an equidigital number, since it uses as much as digits as its factorization.

17905017961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 119070, while the sum is 46.

The spelling of 17905017961 in words is "seventeen billion, nine hundred five million, seventeen thousand, nine hundred sixty-one".