63825138257 has 6 divisors (see below), whose sum is σ = 67361157378. Its totient is φ = 60465920112.

The previous prime is 63825138241. The next prime is 63825138271. The reversal of 63825138257 is 75283152836.

It can be written as a sum of positive squares in only one way, i.e., 53546422801 + 10278715456 = 231401^2 + 101384^2 .

It is not a de Polignac number, because 63825138257 - 2⁴ = 63825138241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63825138457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 88400108 + ... + 88400829.

It is an arithmetic number, because the mean of its divisors is an integer number (11226859563).

Almost surely, 2^63825138257 is an apocalyptic number.

It is an amenable number.

63825138257 is a deficient number, since it is larger than the sum of its proper divisors (3536019121).

63825138257 is a wasteful number, since it uses less digits than its factorization.

63825138257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176800975 (or 176800956 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 50.

The spelling of 63825138257 in words is "sixty-three billion, eight hundred twenty-five million, one hundred thirty-eight thousand, two hundred fifty-seven".