63813552 has 80 divisors (see below), whose sum is σ = 189333120. Its totient is φ = 18316800.

The previous prime is 63813551. The next prime is 63813553. The reversal of 63813552 is 25531836.

It is an interprime number because it is at equal distance from previous prime (63813551) and next prime (63813553).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (63813551) 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, 6852 + ... + 13212.

It is an arithmetic number, because the mean of its divisors is an integer number (2366664).

Almost surely, 2^63813552 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 63813552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94666560).

63813552 is an abundant number, since it is smaller than the sum of its proper divisors (125519568).

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

63813552 is a wasteful number, since it uses less digits than its factorization.

63813552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6402 (or 6396 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 63813552 is about 7988.3385005895. The cubic root of 63813552 is about 399.6111888539.

The spelling of 63813552 in words is "sixty-three million, eight hundred thirteen thousand, five hundred fifty-two".