63117516 has 96 divisors (see below), whose sum is σ = 186052608. Its totient is φ = 16176960.

The previous prime is 63117511. The next prime is 63117517. The reversal of 63117516 is 61571136.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (63117511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76281 + ... + 77103.

It is an arithmetic number, because the mean of its divisors is an integer number (1938048).

Almost surely, 2^63117516 is an apocalyptic number.

63117516 is a gapful number since it is divisible by the number (66) 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 63117516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93026304).

63117516 is an abundant number, since it is smaller than the sum of its proper divisors (122935092).

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

63117516 is a wasteful number, since it uses less digits than its factorization.

63117516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 929 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 63117516 is about 7944.6532964000. The cubic root of 63117516 is about 398.1529760503.

The spelling of 63117516 in words is "sixty-three million, one hundred seventeen thousand, five hundred sixteen".