219065131120801 has 9 divisors (see below), whose sum is σ = 254830987335249. Its totient is φ = 187770023584164.

The previous prime is 219065131120751. The next prime is 219065131120817. The reversal of 219065131120801 is 108021131560912.

The square root of 219065131120801 is 14800849.

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

It is not a de Polignac number, because 219065131120801 - 2⁹ = 219065131120289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (219065131120841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 102548740 + ... + 104663146.

It is an arithmetic number, because the mean of its divisors is an integer number (28314554148361).

Almost surely, 2^{219065131120801} is an apocalyptic number.

219065131120801 is the 14800849-th square number.

219065131120801 is the 7400425-th centered octagonal number.

It is an amenable number.

219065131120801 is a deficient number, since it is larger than the sum of its proper divisors (35765856214448).

219065131120801 is an frugal number, since it uses more digits than its factorization.

219065131120801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228828 (or 2114414 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 40.

The spelling of 219065131120801 in words is "two hundred nineteen trillion, sixty-five billion, one hundred thirty-one million, one hundred twenty thousand, eight hundred one".