453221521 has 9 divisors (see below), whose sum is σ = 462097233. Its totient is φ = 444514320.

The previous prime is 453221501. The next prime is 453221563. The reversal of 453221521 is 125122354.

The square root of 453221521 is 21289.

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

It can be written as a sum of positive squares in 4 ways, for example, as 56415121 + 396806400 = 7511^2 + 19920^2 .

It is not a de Polignac number, because 453221521 - 2⁷ = 453221393 is a prime.

It is a super-3 number, since 3×453221521³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (453221501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1298455 + ... + 1298803.

It is an arithmetic number, because the mean of its divisors is an integer number (51344137).

Almost surely, 2^453221521 is an apocalyptic number.

453221521 is the 21289-th square number.

453221521 is the 10645-th centered octagonal number.

It is an amenable number.

453221521 is a deficient number, since it is larger than the sum of its proper divisors (8875712).

453221521 is an frugal number, since it uses more digits than its factorization.

453221521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 410 counting only the distinct ones).

The product of its digits is 2400, while the sum is 25.

The cubic root of 453221521 is about 768.1337392103.

Multiplying 453221521 by its sum of digits (25), we get a square (11330538025 = 106445²).

Adding to 453221521 its reverse (125122354), we get a palindrome (578343875).

The spelling of 453221521 in words is "four hundred fifty-three million, two hundred twenty-one thousand, five hundred twenty-one".