125513300000 has 576 divisors, whose sum is σ = 363140257536. Its totient is φ = 42592000000.

The previous prime is 125513299997. The next prime is 125513300039. The reversal of 125513300000 is 3315521.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3061299980 + ... + 3061300020.

It is an arithmetic number, because the mean of its divisors is an integer number (630451836).

Almost surely, 2^125513300000 is an apocalyptic number.

125513300000 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 125513300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181570128768).

125513300000 is an abundant number, since it is smaller than the sum of its proper divisors (237626957536).

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

125513300000 is an frugal number, since it uses more digits than its factorization.

125513300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

Adding to 125513300000 its reverse (3315521), we get a palindrome (125516615521).

The spelling of 125513300000 in words is "one hundred twenty-five billion, five hundred thirteen million, three hundred thousand".