38513106 has 24 divisors (see below), whose sum is σ = 83876364. Its totient is φ = 12771360.

The previous prime is 38513099. The next prime is 38513107. The reversal of 38513106 is 60131583.

38513106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35820225 + 2692881 = 5985^2 + 1641^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38513106.

It is not an unprimeable number, because it can be changed into a prime (38513107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1885 + ... + 8976.

Almost surely, 2^38513106 is an apocalyptic number.

38513106 is an abundant number, since it is smaller than the sum of its proper divisors (45363258).

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

38513106 is a wasteful number, since it uses less digits than its factorization.

38513106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11066 (or 11063 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 38513106 is about 6205.8928447082. The cubic root of 38513106 is about 337.7039820400.

Adding to 38513106 its reverse (60131583), we get a palindrome (98644689).

The spelling of 38513106 in words is "thirty-eight million, five hundred thirteen thousand, one hundred six".