13252617420 has 288 divisors, whose sum is σ = 46128741120. Its totient is φ = 2826109440.

The previous prime is 13252617383. The next prime is 13252617437. The reversal of 13252617420 is 2471625231.

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, 3740850 + ... + 3744390.

It is an arithmetic number, because the mean of its divisors is an integer number (160169240).

Almost surely, 2^13252617420 is an apocalyptic number.

13252617420 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 13252617420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23064370560).

13252617420 is an abundant number, since it is smaller than the sum of its proper divisors (32876123700).

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

13252617420 is a wasteful number, since it uses less digits than its factorization.

13252617420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3653 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 13252617420 in words is "thirteen billion, two hundred fifty-two million, six hundred seventeen thousand, four hundred twenty".