19810947000601 has 27 divisors (see below), whose sum is σ = 21205132161759. Its totient is φ = 18507045942000.

The previous prime is 19810947000563. The next prime is 19810947000631. The reversal of 19810947000601 is 10600074901891.

The square root of 19810947000601 is 4450949.

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

It can be written as a sum of positive squares in only one way, i.e., 10388380056201 + 9422566944400 = 3223101^2 + 3069620^2 .

It is not a de Polignac number, because 19810947000601 - 2³⁵ = 19776587262233 is a prime.

It is a super-2 number, since 2×19810947000601² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19810947000631) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4001400676 + ... + 4001405626.

Almost surely, 2^{19810947000601} is an apocalyptic number.

19810947000601 is the 4450949-th square number.

19810947000601 is the 2225475-th centered octagonal number.

It is an amenable number.

19810947000601 is a deficient number, since it is larger than the sum of its proper divisors (1394185161158).

19810947000601 is an frugal number, since it uses more digits than its factorization.

19810947000601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10022 (or 5011 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 46.

The spelling of 19810947000601 in words is "nineteen trillion, eight hundred ten billion, nine hundred forty-seven million, six hundred one", and thus it is an aban number.