781189054801 has 9 divisors (see below), whose sum is σ = 783466270353. Its totient is φ = 778918446720.

The previous prime is 781189054769. The next prime is 781189054843. The reversal of 781189054801 is 108450981187.

The square root of 781189054801 is 883849.

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

781189054801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 260713381201 + 520475673600 = 510601^2 + 721440^2 .

It is not a de Polignac number, because 781189054801 - 2⁵ = 781189054769 is a prime.

It is a super-2 number, since 2×781189054801² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (781189054601) 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, 361493161 + ... + 361495321.

It is an arithmetic number, because the mean of its divisors is an integer number (87051807817).

Almost surely, 2^781189054801 is an apocalyptic number.

781189054801 is the 883849-th square number.

781189054801 is the 441925-th centered octagonal number.

It is an amenable number.

781189054801 is a deficient number, since it is larger than the sum of its proper divisors (2277215552).

781189054801 is an frugal number, since it uses more digits than its factorization.

781189054801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5140 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 52.

The spelling of 781189054801 in words is "seven hundred eighty-one billion, one hundred eighty-nine million, fifty-four thousand, eight hundred one".