641198961001 has 9 divisors (see below), whose sum is σ = 643136998149. Its totient is φ = 639266753664.

The previous prime is 641198960957. The next prime is 641198961023. The reversal of 641198961001 is 100169891146.

The square root of 641198961001 is 800749.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 178336445401 + 462862515600 = 422299^2 + 680340^2 .

It is not a de Polignac number, because 641198961001 - 2³⁹ = 91443147113 is a prime.

It is a super-2 number, since 2×641198961001² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (641198961071) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 317896345 + ... + 317898361.

It is an arithmetic number, because the mean of its divisors is an integer number (71459666461).

Almost surely, 2^641198961001 is an apocalyptic number.

641198961001 is the 800749-th square number.

641198961001 is the 400375-th centered octagonal number.

It is an amenable number.

641198961001 is a deficient number, since it is larger than the sum of its proper divisors (1938037148).

641198961001 is an frugal number, since it uses more digits than its factorization.

641198961001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4828 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 46.

The spelling of 641198961001 in words is "six hundred forty-one billion, one hundred ninety-eight million, nine hundred sixty-one thousand, one".