219010401 has 9 divisors (see below), whose sum is σ = 316412499. Its totient is φ = 145977336.

The previous prime is 219010373. The next prime is 219010403. The reversal of 219010401 is 104010912.

The square root of 219010401 is 14799.

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

219010401 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 only one way, i.e., 68310225 + 150700176 = 8265^2 + 12276^2 .

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

It is not a de Polignac number, because 219010401 - 2⁷ = 219010273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (219010403) 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, 41931 + ... + 46863.

Almost surely, 2^219010401 is an apocalyptic number.

219010401 is the 14799-th square number.

219010401 is the 7400-th centered octagonal number.

It is an amenable number.

219010401 is a deficient number, since it is larger than the sum of its proper divisors (97402098).

219010401 is an frugal number, since it uses more digits than its factorization.

219010401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9872 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The cubic root of 219010401 is about 602.7745582672.

The spelling of 219010401 in words is "two hundred nineteen million, ten thousand, four hundred one".