39903658081 has 9 divisors (see below), whose sum is σ = 46420167699. Its totient is φ = 34201936944.

The previous prime is 39903658079. The next prime is 39903658099. The reversal of 39903658081 is 18085630993.

The square root of 39903658081 is 199759.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5003440225 + 34900217856 = 70735^2 + 186816^2 .

It is not a de Polignac number, because 39903658081 - 2¹ = 39903658079 is a prime.

It is a super-2 number, since 2×39903658081² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39903658001) 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 8 ways as a sum of consecutive naturals, for example, 1384045 + ... + 1412581.

It is an arithmetic number, because the mean of its divisors is an integer number (5157796411).

Almost surely, 2^39903658081 is an apocalyptic number.

39903658081 is the 199759-th square number.

39903658081 is the 99880-th centered octagonal number.

It is an amenable number.

39903658081 is a deficient number, since it is larger than the sum of its proper divisors (6516509618).

39903658081 is an frugal number, since it uses more digits than its factorization.

39903658081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57088 (or 28544 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 39903658081 in words is "thirty-nine billion, nine hundred three million, six hundred fifty-eight thousand, eighty-one".