125510520032352 has 2304 divisors, whose sum is σ = 489817736755200. Its totient is φ = 30901602041856.

The previous prime is 125510520032237. The next prime is 125510520032363. The reversal of 125510520032352 is 253230025015521.

125510520032352 is a `hidden beast` number, since 1 + 2 + 5 + 51 + 0 + 520 + 0 + 32 + 3 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 114831216318 + ... + 114831217410.

It is an arithmetic number, because the mean of its divisors is an integer number (212594503800).

Almost surely, 2^{125510520032352} is an apocalyptic number.

125510520032352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125510520032352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244908868377600).

125510520032352 is an abundant number, since it is smaller than the sum of its proper divisors (364307216722848).

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

125510520032352 is a wasteful number, since it uses less digits than its factorization.

125510520032352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 125510520032352 its reverse (253230025015521), we get a palindrome (378740545047873).

The spelling of 125510520032352 in words is "one hundred twenty-five trillion, five hundred ten billion, five hundred twenty million, thirty-two thousand, three hundred fifty-two".