63050 has 24 divisors (see below), whose sum is σ = 127596. Its totient is φ = 23040.

The previous prime is 63031. The next prime is 63059. The reversal of 63050 is 5036.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10609 + 52441 = 103^2 + 229^2 .

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (63059) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 602 + ... + 698.

2⁶³⁰⁵⁰ is an apocalyptic number.

63050 is an abundant number, since it is smaller than the sum of its proper divisors (64546).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63798).

63050 is a wasteful number, since it uses less digits than its factorization.

63050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 63050 is about 251.0975905898. The cubic root of 63050 is about 39.8010959017.

Subtracting from 63050 its sum of digits (14), we obtain a palindrome (63036).

Adding to 63050 its reverse (5036), we get a palindrome (68086).

The spelling of 63050 in words is "sixty-three thousand, fifty".