138017776528513 has 16 divisors (see below), whose sum is σ = 163203905479680. Its totient is φ = 114200482487616.

The previous prime is 138017776528477. The next prime is 138017776528517. The reversal of 138017776528513 is 315825677710831.

It is a happy number.

It is not a de Polignac number, because 138017776528513 - 2²⁹ = 138017239657601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138017776528517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61773706 + ... + 63968947.

It is an arithmetic number, because the mean of its divisors is an integer number (10200244092480).

Almost surely, 2^{138017776528513} is an apocalyptic number.

It is an amenable number.

138017776528513 is a deficient number, since it is larger than the sum of its proper divisors (25186128951167).

138017776528513 is a wasteful number, since it uses less digits than its factorization.

138017776528513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125748096.

The product of its (nonzero) digits is 59270400, while the sum is 64.

The spelling of 138017776528513 in words is "one hundred thirty-eight trillion, seventeen billion, seven hundred seventy-six million, five hundred twenty-eight thousand, five hundred thirteen".