13501325000 has 96 divisors (see below), whose sum is σ = 31729297320. Its totient is φ = 5385600000.

The previous prime is 13501324939. The next prime is 13501325011. The reversal of 13501325000 is 52310531.

It can be written as a sum of positive squares in 12 ways, for example, as 12451435396 + 1049889604 = 111586^2 + 32402^2 .

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15324560 + ... + 15325440.

Almost surely, 2^13501325000 is an apocalyptic number.

13501325000 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 13501325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15864648660).

13501325000 is an abundant number, since it is smaller than the sum of its proper divisors (18227972320).

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

13501325000 is an frugal number, since it uses more digits than its factorization.

13501325000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1501 counting only the distinct ones).

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

Adding to 13501325000 its reverse (52310531), we get a palindrome (13553635531).

The spelling of 13501325000 in words is "thirteen billion, five hundred one million, three hundred twenty-five thousand".