13509629952 has 384 divisors, whose sum is σ = 45071470080. Its totient is φ = 3503554560.

The previous prime is 13509629951. The next prime is 13509629957. The reversal of 13509629952 is 25992690531.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 13509629895 and 13509629904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13509629951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40814427 + ... + 40814757.

It is an arithmetic number, because the mean of its divisors is an integer number (117373620).

Almost surely, 2^13509629952 is an apocalyptic number.

13509629952 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 13509629952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22535735040).

13509629952 is an abundant number, since it is smaller than the sum of its proper divisors (31561840128).

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

13509629952 is a wasteful number, since it uses less digits than its factorization.

13509629952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 51.

The spelling of 13509629952 in words is "thirteen billion, five hundred nine million, six hundred twenty-nine thousand, nine hundred fifty-two".