13535409825 has 144 divisors (see below), whose sum is σ = 29144134656. Its totient is φ = 6099105600.

The previous prime is 13535409803. The next prime is 13535409847. The reversal of 13535409825 is 52890453531.

13535409825 is a `hidden beast` number, since 1 + 3 + 535 + 4 + 0 + 98 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (13535409803) and next prime (13535409847).

It is not a de Polignac number, because 13535409825 - 2⁵ = 13535409793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3017034 + ... + 3021516.

It is an arithmetic number, because the mean of its divisors is an integer number (202389824).

Almost surely, 2^13535409825 is an apocalyptic number.

13535409825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13535409825 is an abundant number, since it is smaller than the sum of its proper divisors (15608724831).

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

13535409825 is an equidigital number, since it uses as much as digits as its factorization.

13535409825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4586 (or 4569 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 13535409825 in words is "thirteen billion, five hundred thirty-five million, four hundred nine thousand, eight hundred twenty-five".