13511981952 has 384 divisors, whose sum is σ = 46454553600. Its totient is φ = 3829524480.

The previous prime is 13511981947. The next prime is 13511981957. The reversal of 13511981952 is 25918911531.

It is a happy number.

13511981952 is a `hidden beast` number, since 1 + 3 + 511 + 9 + 81 + 9 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (13511981947) and next prime (13511981957).

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 = 13511981898 and 13511981907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13511981957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49859577 + ... + 49859847.

It is an arithmetic number, because the mean of its divisors is an integer number (120975400).

Almost surely, 2^13511981952 is an apocalyptic number.

13511981952 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 13511981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23227276800).

13511981952 is an abundant number, since it is smaller than the sum of its proper divisors (32942571648).

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

13511981952 is an equidigital number, since it uses as much as digits as its factorization.

13511981952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 512 counting only the distinct ones).

The product of its digits is 97200, while the sum is 45.

The spelling of 13511981952 in words is "thirteen billion, five hundred eleven million, nine hundred eighty-one thousand, nine hundred fifty-two".