125312505213520 has 80 divisors (see below), whose sum is σ = 294998315274432. Its totient is φ = 49498164910080.

The previous prime is 125312505213461. The next prime is 125312505213521. The reversal of 125312505213520 is 25312505213521.

125312505213520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 125312505213520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125312505213521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9982459 + ... + 18715621.

Almost surely, 2^{125312505213520} is an apocalyptic number.

125312505213520 is a gapful number since it is divisible by the number (10) 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 125312505213520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147499157637216).

125312505213520 is an abundant number, since it is smaller than the sum of its proper divisors (169685810060912).

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

125312505213520 is a wasteful number, since it uses less digits than its factorization.

125312505213520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8735420 (or 8735414 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 37.

Subtracting from 125312505213520 its reverse (25312505213521), we obtain a palindrome (99999999999999).

The spelling of 125312505213520 in words is "one hundred twenty-five trillion, three hundred twelve billion, five hundred five million, two hundred thirteen thousand, five hundred twenty".