63825453769 has 81 divisors (see below), whose sum is σ = 87143602581. Its totient is φ = 46566051840.

The previous prime is 63825453743. The next prime is 63825453829. The reversal of 63825453769 is 96735452836.

The square root of 63825453769 is 252637.

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

63825453769 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 4 ways, for example, as 38900169 + 63786553600 = 6237^2 + 252560^2 .

It is not a de Polignac number, because 63825453769 - 2⁵ = 63825453737 is a prime.

It is a super-2 number, since 2×63825453769² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (63825453739) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 330701737 + ... + 330701929.

Almost surely, 2^63825453769 is an apocalyptic number.

63825453769 is the 252637-th square number.

63825453769 is the 126319-th centered octagonal number.

It is an amenable number.

63825453769 is a deficient number, since it is larger than the sum of its proper divisors (23318148812).

63825453769 is a wasteful number, since it uses less digits than its factorization.

63825453769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 228 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 58.

The spelling of 63825453769 in words is "sixty-three billion, eight hundred twenty-five million, four hundred fifty-three thousand, seven hundred sixty-nine".