63058536 has 48 divisors (see below), whose sum is σ = 172563300. Its totient is φ = 20800512.

The previous prime is 63058531. The next prime is 63058573. The reversal of 63058536 is 63585036.

It can be written as a sum of positive squares in 2 ways, for example, as 55800900 + 7257636 = 7470^2 + 2694^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 63058536.

It is not an unprimeable number, because it can be changed into a prime (63058531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2470 + ... + 11498.

Almost surely, 2^63058536 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 63058536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86281650).

63058536 is an abundant number, since it is smaller than the sum of its proper divisors (109504764).

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

63058536 is a wasteful number, since it uses less digits than its factorization.

63058536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9138 (or 9131 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 63058536 is about 7940.9404984548. The cubic root of 63058536 is about 398.0289197271.

It can be divided in two parts, 6305 and 8536, that added together give a palindrome (14841).

The spelling of 63058536 in words is "sixty-three million, fifty-eight thousand, five hundred thirty-six".