1890897259801 has 27 divisors (see below), whose sum is σ = 2131052891709. Its totient is φ = 1676520700800.

The previous prime is 1890897259793. The next prime is 1890897259807. The reversal of 1890897259801 is 1089527980981.

The square root of 1890897259801 is 1375099.

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 1364459946201 + 526437313600 = 1168101^2 + 725560^2 .

It is not a de Polignac number, because 1890897259801 - 2³ = 1890897259793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1890897259807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 620168125 + ... + 620171173.

Almost surely, 2^{1890897259801} is an apocalyptic number.

1890897259801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1890897259801 is the 1375099-th square number.

1890897259801 is the 687550-th centered octagonal number.

It is an amenable number.

1890897259801 is a deficient number, since it is larger than the sum of its proper divisors (240155631908).

1890897259801 is an frugal number, since it uses more digits than its factorization.

1890897259801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6202 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 67.

The spelling of 1890897259801 in words is "one trillion, eight hundred ninety billion, eight hundred ninety-seven million, two hundred fifty-nine thousand, eight hundred one".