988591313905 has 12 divisors (see below), whose sum is σ = 1284583743900. Its totient is φ = 730036661952.

The previous prime is 988591313861. The next prime is 988591313929. The reversal of 988591313905 is 509313195889.

988591313905 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 6 ways, for example, as 153984823281 + 834606490624 = 392409^2 + 913568^2 .

It is a de Polignac number, because none of the positive numbers 2^k-988591313905 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 584964430 + ... + 584966119.

It is an arithmetic number, because the mean of its divisors is an integer number (107048645325).

Almost surely, 2^988591313905 is an apocalyptic number.

It is an amenable number.

988591313905 is a deficient number, since it is larger than the sum of its proper divisors (295992429995).

988591313905 is a wasteful number, since it uses less digits than its factorization.

988591313905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169930580 (or 1169930567 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 61.

The spelling of 988591313905 in words is "nine hundred eighty-eight billion, five hundred ninety-one million, three hundred thirteen thousand, nine hundred five".