63517152 has 96 divisors (see below), whose sum is σ = 177811200. Its totient is φ = 19795968.

The previous prime is 63517147. The next prime is 63517169. The reversal of 63517152 is 25171536.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×63517152² = 8068857196382208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176749 + ... + 177107.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 2^63517152 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 63517152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88905600).

63517152 is an abundant number, since it is smaller than the sum of its proper divisors (114294048).

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

63517152 is a wasteful number, since it uses less digits than its factorization.

63517152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 480 counting only the distinct ones).

The product of its digits is 6300, while the sum is 30.

The square root of 63517152 is about 7969.7648647874. The cubic root of 63517152 is about 398.9915262552.

Adding to 63517152 its reverse (25171536), we get a palindrome (88688688).

The spelling of 63517152 in words is "sixty-three million, five hundred seventeen thousand, one hundred fifty-two".