31098441125 has 12 divisors (see below), whose sum is σ = 38813315268. Its totient is φ = 24877175600.

The previous prime is 31098441119. The next prime is 31098441149. The reversal of 31098441125 is 52114489013.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 7652400484 + 23446040641 = 87478^2 + 153121^2 .

It is not a de Polignac number, because 31098441125 - 2⁶ = 31098441061 is a prime.

It is a super-2 number, since 2×31098441125² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

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, 1963739 + ... + 1979511.

It is an arithmetic number, because the mean of its divisors is an integer number (3234442939).

Almost surely, 2^31098441125 is an apocalyptic number.

It is an amenable number.

31098441125 is a deficient number, since it is larger than the sum of its proper divisors (7714874143).

31098441125 is an frugal number, since it uses more digits than its factorization.

31098441125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31561 (or 15778 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 31098441125 in words is "thirty-one billion, ninety-eight million, four hundred forty-one thousand, one hundred twenty-five".