13525400000 has 168 divisors, whose sum is σ = 38343608352. Its totient is φ = 4636800000.

The previous prime is 13525399997. The next prime is 13525400003. The reversal of 13525400000 is 452531.

It is an interprime number because it is at equal distance from previous prime (13525399997) and next prime (13525400003).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13525400003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1395170 + ... + 1404830.

It is an arithmetic number, because the mean of its divisors is an integer number (228235764).

Almost surely, 2^13525400000 is an apocalyptic number.

13525400000 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 13525400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19171804176).

13525400000 is an abundant number, since it is smaller than the sum of its proper divisors (24818208352).

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

13525400000 is an frugal number, since it uses more digits than its factorization.

13525400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9705 (or 9675 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 13525400000 its reverse (452531), we get a palindrome (13525852531).

The spelling of 13525400000 in words is "thirteen billion, five hundred twenty-five million, four hundred thousand".