63013520 has 80 divisors (see below), whose sum is σ = 153405360. Its totient is φ = 24041472.

The previous prime is 63013499. The next prime is 63013523. The reversal of 63013520 is 2531036.

It can be written as a sum of positive squares in 8 ways, for example, as 350464 + 62663056 = 592^2 + 7916^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 63013492 and 63013501.

It is not an unprimeable number, because it can be changed into a prime (63013523) 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, 364154 + ... + 364326.

It is an arithmetic number, because the mean of its divisors is an integer number (1917567).

Almost surely, 2^63013520 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 63013520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76702680).

63013520 is an abundant number, since it is smaller than the sum of its proper divisors (90391840).

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

63013520 is a wasteful number, since it uses less digits than its factorization.

63013520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 63013520 is about 7938.1055674512. The cubic root of 63013520 is about 397.9341826974.

Adding to 63013520 its reverse (2531036), we get a palindrome (65544556).

The spelling of 63013520 in words is "sixty-three million, thirteen thousand, five hundred twenty".