31012525128 has 128 divisors (see below), whose sum is σ = 88754641920. Its totient is φ = 8945664000.

The previous prime is 31012525069. The next prime is 31012525129. The reversal of 31012525128 is 82152521013.

It is a junction number, because it is equal to n+sod(n) for n = 31012525095 and 31012525104.

It is not an unprimeable number, because it can be changed into a prime (31012525129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1351753 + ... + 1374503.

It is an arithmetic number, because the mean of its divisors is an integer number (693395640).

Almost surely, 2^31012525128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31012525128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44377320960).

31012525128 is an abundant number, since it is smaller than the sum of its proper divisors (57742116792).

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

31012525128 is a wasteful number, since it uses less digits than its factorization.

31012525128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23047 (or 23043 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 31012525128 in words is "thirty-one billion, twelve million, five hundred twenty-five thousand, one hundred twenty-eight".