63520777125 has 336 divisors, whose sum is σ = 135564090480. Its totient is φ = 29491257600.

The previous prime is 63520777093. The next prime is 63520777129. The reversal of 63520777125 is 52177702536.

63520777125 is a `hidden beast` number, since 635 + 2 + 0 + 7 + 7 + 7 + 1 + 2 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 31967294436 + 31553482689 = 178794^2 + 177633^2 .

It is not a de Polignac number, because 63520777125 - 2⁵ = 63520777093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63520777129) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1477227354 + ... + 1477227396.

It is an arithmetic number, because the mean of its divisors is an integer number (403464555).

Almost surely, 2^63520777125 is an apocalyptic number.

63520777125 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

63520777125 is an abundant number, since it is smaller than the sum of its proper divisors (72043313355).

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

63520777125 is an equidigital number, since it uses as much as digits as its factorization.

63520777125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 63520777125 in words is "sixty-three billion, five hundred twenty million, seven hundred seventy-seven thousand, one hundred twenty-five".