13525134400 has 84 divisors (see below), whose sum is σ = 33401523748. Its totient is φ = 5390346240.

The previous prime is 13525134391. The next prime is 13525134419. The reversal of 13525134400 is 443152531.

It can be written as a sum of positive squares in 6 ways, for example, as 5519895616 + 8005238784 = 74296^2 + 89472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427942 + ... + 458458.

Almost surely, 2^13525134400 is an apocalyptic number.

13525134400 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 13525134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16700761874).

13525134400 is an abundant number, since it is smaller than the sum of its proper divisors (19876389348).

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

13525134400 is a wasteful number, since it uses less digits than its factorization.

13525134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30816 (or 30801 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 13525134400 its reverse (443152531), we get a palindrome (13968286931).

The spelling of 13525134400 in words is "thirteen billion, five hundred twenty-five million, one hundred thirty-four thousand, four hundred".