19155931809001 has 27 divisors (see below), whose sum is σ = 20860848149871. Its totient is φ = 17582346110784.

The previous prime is 19155931808969. The next prime is 19155931809019. The reversal of 19155931809001 is 10090813955191.

The square root of 19155931809001 is 4376749.

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

It can be written as a sum of positive squares in 13 ways, for example, as 11193715181401 + 7962216627600 = 3345701^2 + 2821740^2 .

It is not a de Polignac number, because 19155931809001 - 2⁵ = 19155931808969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19155931809001.

It is not an unprimeable number, because it can be changed into a prime (19155931806001) 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 in 26 ways as a sum of consecutive naturals, for example, 11208853335 + ... + 11208855043.

Almost surely, 2^{19155931809001} is an apocalyptic number.

19155931809001 is the 4376749-th square number.

19155931809001 is the 2188375-th centered octagonal number.

It is an amenable number.

19155931809001 is a deficient number, since it is larger than the sum of its proper divisors (1704916340870).

19155931809001 is an frugal number, since it uses more digits than its factorization.

19155931809001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 52.

The spelling of 19155931809001 in words is "nineteen trillion, one hundred fifty-five billion, nine hundred thirty-one million, eight hundred nine thousand, one".