13497542352 has 480 divisors, whose sum is σ = 47370301440. Its totient is φ = 3664362240.

The previous prime is 13497542339. The next prime is 13497542363. The reversal of 13497542352 is 25324579431.

It is a happy number.

13497542352 is a `hidden beast` number, since 1 + 349 + 75 + 4 + 235 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13497542298 and 13497542307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43965783 + ... + 43966089.

It is an arithmetic number, because the mean of its divisors is an integer number (98688128).

Almost surely, 2^13497542352 is an apocalyptic number.

13497542352 is a gapful number since it is divisible by the number (12) 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 13497542352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23685150720).

13497542352 is an abundant number, since it is smaller than the sum of its proper divisors (33872759088).

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

13497542352 is a wasteful number, since it uses less digits than its factorization.

13497542352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 417 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 13497542352 in words is "thirteen billion, four hundred ninety-seven million, five hundred forty-two thousand, three hundred fifty-two".