6890105259801 has 9 divisors (see below), whose sum is σ = 9952385638741. Its totient is φ = 4593398256732.

The previous prime is 6890105259799. The next prime is 6890105259833. The reversal of 6890105259801 is 1089525010986.

The square root of 6890105259801 is 2624901.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 6890105259801 - 2¹ = 6890105259799 is a prime.

It is a super-2 number, since 2×6890105259801² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6890105259601) 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 8 ways as a sum of consecutive naturals, for example, 7437220 + ... + 8312186.

Almost surely, 2^{6890105259801} is an apocalyptic number.

6890105259801 is the 2624901-st square number.

6890105259801 is the 1312451-st centered octagonal number.

It is an amenable number.

6890105259801 is a deficient number, since it is larger than the sum of its proper divisors (3062280378940).

6890105259801 is an frugal number, since it uses more digits than its factorization.

6890105259801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749940 (or 874970 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 6890105259801 in words is "six trillion, eight hundred ninety billion, one hundred five million, two hundred fifty-nine thousand, eight hundred one".