219303953401 has 45 divisors (see below), whose sum is σ = 253933746171. Its totient is φ = 189357637248.

The previous prime is 219303953399. The next prime is 219303953417. The reversal of 219303953401 is 104359303912.

It is a happy number.

The square root of 219303953401 is 468299.

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

It can be written as a sum of positive squares in 7 ways, for example, as 200198079225 + 19105874176 = 447435^2 + 138224^2 .

It is not a de Polignac number, because 219303953401 - 2¹ = 219303953399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (219303953471) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1345422946 + ... + 1345423108.

Almost surely, 2^219303953401 is an apocalyptic number.

219303953401 is the 468299-th square number.

219303953401 is the 234150-th centered octagonal number.

It is an amenable number.

219303953401 is a deficient number, since it is larger than the sum of its proper divisors (34629792770).

219303953401 is an frugal number, since it uses more digits than its factorization.

219303953401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 40.

The spelling of 219303953401 in words is "two hundred nineteen billion, three hundred three million, nine hundred fifty-three thousand, four hundred one".