63813000 has 128 divisors (see below), whose sum is σ = 202176000. Its totient is φ = 16755200.

The previous prime is 63812999. The next prime is 63813037. The reversal of 63813000 is 31836.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266881 + ... + 267119.

It is an arithmetic number, because the mean of its divisors is an integer number (1579500).

Almost surely, 2^63813000 is an apocalyptic number.

63813000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63813000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101088000).

63813000 is an abundant number, since it is smaller than the sum of its proper divisors (138363000).

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

63813000 is a wasteful number, since it uses less digits than its factorization.

63813000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 63813000 is about 7988.3039501511. The cubic root of 63813000 is about 399.6100366116.

Adding to 63813000 its reverse (31836), we get a palindrome (63844836).

The spelling of 63813000 in words is "sixty-three million, eight hundred thirteen thousand".