63521253 has 10 divisors (see below), whose sum is σ = 94889894. Its totient is φ = 42347448.

The previous prime is 63521251. The next prime is 63521257. The reversal of 63521253 is 35212536.

63521253 is a `hidden beast` number, since 635 + 2 + 1 + 25 + 3 = 666.

63521253 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., 49028004 + 14493249 = 7002^2 + 3807^2 .

It is not a de Polignac number, because 63521253 - 2¹ = 63521251 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63521251) 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 9 ways as a sum of consecutive naturals, for example, 392026 + ... + 392187.

Almost surely, 2^63521253 is an apocalyptic number.

It is an amenable number.

63521253 is a deficient number, since it is larger than the sum of its proper divisors (31368641).

63521253 is an equidigital number, since it uses as much as digits as its factorization.

63521253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784225 (or 784216 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 63521253 is about 7970.0221455150. The cubic root of 63521253 is about 399.0001130646. Note that the first 3 decimals are identical.

Adding to 63521253 its reverse (35212536), we get a palindrome (98733789).

The spelling of 63521253 in words is "sixty-three million, five hundred twenty-one thousand, two hundred fifty-three".