653262481 has 9 divisors (see below), whose sum is σ = 665736123. Its totient is φ = 641019720.

The previous prime is 653262479. The next prime is 653262487. The reversal of 653262481 is 184262356.

The square root of 653262481 is 25559.

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

It can be written as a sum of positive squares in only one way, i.e., 21242881 + 632019600 = 4609^2 + 25140^2 .

It is not a de Polignac number, because 653262481 - 2¹ = 653262479 is a prime.

It is a super-2 number, since 2×653262481² = 853503738164550722, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (69120) is a multiple of the sum of its prime divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 653262481.

It is not an unprimeable number, because it can be changed into a prime (653262487) 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, 1558890 + ... + 1559308.

Almost surely, 2^653262481 is an apocalyptic number.

653262481 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

653262481 is the 25559-th square number.

653262481 is the 12780-th centered octagonal number.

It is an amenable number.

653262481 is a deficient number, since it is larger than the sum of its proper divisors (12473642).

653262481 is an frugal number, since it uses more digits than its factorization.

653262481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 480 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The cubic root of 653262481 is about 867.6859635599.

The spelling of 653262481 in words is "six hundred fifty-three million, two hundred sixty-two thousand, four hundred eighty-one".