13752061038 has 64 divisors (see below), whose sum is σ = 31030272000. Its totient is φ = 4513815072.

The previous prime is 13752061033. The next prime is 13752061051. The reversal of 13752061038 is 83016025731.

13752061038 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 2 + 0 + 610 + 38 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13752060993 and 13752061011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13752061033) 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, 1655331 + ... + 1663617.

It is an arithmetic number, because the mean of its divisors is an integer number (484848000).

Almost surely, 2^13752061038 is an apocalyptic number.

13752061038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13752061038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15515136000).

13752061038 is an abundant number, since it is smaller than the sum of its proper divisors (17278210962).

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

13752061038 is a wasteful number, since it uses less digits than its factorization.

13752061038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8766 (or 8760 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 13752061038 its reverse (83016025731), we get a palindrome (96768086769).

The spelling of 13752061038 in words is "thirteen billion, seven hundred fifty-two million, sixty-one thousand, thirty-eight".