13531552000 has 72 divisors (see below), whose sum is σ = 33708867192. Its totient is φ = 5412608000.

The previous prime is 13531551991. The next prime is 13531552007. The reversal of 13531552000 is 25513531.

It can be written as a sum of positive squares in 4 ways, for example, as 304711936 + 13226840064 = 17456^2 + 115008^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13531552007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179431 + ... + 243430.

It is an arithmetic number, because the mean of its divisors is an integer number (468178711).

Almost surely, 2^13531552000 is an apocalyptic number.

13531552000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13531552000 is an abundant number, since it is smaller than the sum of its proper divisors (20177315192).

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

13531552000 is an frugal number, since it uses more digits than its factorization.

13531552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422892 (or 422868 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The spelling of 13531552000 in words is "thirteen billion, five hundred thirty-one million, five hundred fifty-two thousand".