13519730952 has 384 divisors, whose sum is σ = 46910073600. Its totient is φ = 3532419072.

The previous prime is 13519730941. The next prime is 13519730963. The reversal of 13519730952 is 25903791531.

13519730952 is a `hidden beast` number, since 13 + 519 + 7 + 30 + 95 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13519730941) and next prime (13519730963).

It is a junction number, because it is equal to n+sod(n) for n = 13519730898 and 13519730907.

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, 40117728 + ... + 40118064.

It is an arithmetic number, because the mean of its divisors is an integer number (122161650).

Almost surely, 2^13519730952 is an apocalyptic number.

13519730952 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 13519730952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23455036800).

13519730952 is an abundant number, since it is smaller than the sum of its proper divisors (33390342648).

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

13519730952 is a wasteful number, since it uses less digits than its factorization.

13519730952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 13519730952 in words is "thirteen billion, five hundred nineteen million, seven hundred thirty thousand, nine hundred fifty-two".