63825132 has 48 divisors (see below), whose sum is σ = 171908352. Its totient is φ = 18052800.

The previous prime is 63825131. The next prime is 63825163. The reversal of 63825132 is 23152836.

It is a self number, because there is not a number n which added to its sum of digits gives 63825132.

It is not an unprimeable number, because it can be changed into a prime (63825131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4723 + ... + 12245.

It is an arithmetic number, because the mean of its divisors is an integer number (3581424).

Almost surely, 2^63825132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63825132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85954176).

63825132 is an abundant number, since it is smaller than the sum of its proper divisors (108083220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63825132 is a wasteful number, since it uses less digits than its factorization.

63825132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7638 (or 7636 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 63825132 is about 7989.0632742519. The cubic root of 63825132 is about 399.6353593607.

Adding to 63825132 its reverse (23152836), we get a palindrome (86977968).

The spelling of 63825132 in words is "sixty-three million, eight hundred twenty-five thousand, one hundred thirty-two".