63005101000 has 64 divisors (see below), whose sum is σ = 147702746880. Its totient is φ = 25155748800.

The previous prime is 63005100973. The next prime is 63005101007. The reversal of 63005101000 is 10150036.

It is not an unprimeable number, because it can be changed into a prime (63005101007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489409 + ... + 604591.

It is an arithmetic number, because the mean of its divisors is an integer number (2307855420).

Almost surely, 2^63005101000 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 63005101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73851373440).

63005101000 is an abundant number, since it is smaller than the sum of its proper divisors (84697645880).

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

63005101000 is a wasteful number, since it uses less digits than its factorization.

63005101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115751 (or 115737 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

Adding to 63005101000 its reverse (10150036), we get a palindrome (63015251036).

The spelling of 63005101000 in words is "sixty-three billion, five million, one hundred one thousand".