13161029952 has 168 divisors, whose sum is σ = 41450398176. Its totient is φ = 3672732672.

The previous prime is 13161029933. The next prime is 13161030007. The reversal of 13161029952 is 25992016131.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×13161029952² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13161029952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388278 + ... + 420810.

Almost surely, 2^13161029952 is an apocalyptic number.

13161029952 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 13161029952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20725199088).

13161029952 is an abundant number, since it is smaller than the sum of its proper divisors (28289368224).

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

13161029952 is a wasteful number, since it uses less digits than its factorization.

13161029952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32605 (or 32588 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The spelling of 13161029952 in words is "thirteen billion, one hundred sixty-one million, twenty-nine thousand, nine hundred fifty-two".