63125256264 has 128 divisors (see below), whose sum is σ = 184602624000. Its totient is φ = 17980522560.

The previous prime is 63125256209. The next prime is 63125256269. The reversal of 63125256264 is 46265252136.

63125256264 = 448² + 449² + ... + 5743².

63125256264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (63125256269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2713209 + ... + 2736375.

It is an arithmetic number, because the mean of its divisors is an integer number (1442208000).

Almost surely, 2^63125256264 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 63125256264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92301312000).

63125256264 is an abundant number, since it is smaller than the sum of its proper divisors (121477367736).

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

63125256264 is a wasteful number, since it uses less digits than its factorization.

63125256264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23528 (or 23510 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The spelling of 63125256264 in words is "sixty-three billion, one hundred twenty-five million, two hundred fifty-six thousand, two hundred sixty-four".