31601405601325 has 72 divisors (see below), whose sum is σ = 47455617501000. Its totient is φ = 20789043125760.

The previous prime is 31601405601287. The next prime is 31601405601343. The reversal of 31601405601325 is 52310650410613.

It can be written as a sum of positive squares in 12 ways, for example, as 15812695404324 + 15788710197001 = 3976518^2 + 3973501^2 .

It is not a de Polignac number, because 31601405601325 - 2⁷ = 31601405601197 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2744451 + ... + 8410399.

It is an arithmetic number, because the mean of its divisors is an integer number (659105798625).

Almost surely, 2^{31601405601325} is an apocalyptic number.

31601405601325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

31601405601325 is a deficient number, since it is larger than the sum of its proper divisors (15854211899675).

31601405601325 is a wasteful number, since it uses less digits than its factorization.

31601405601325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5666159 (or 5666147 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 31601405601325 in words is "thirty-one trillion, six hundred one billion, four hundred five million, six hundred one thousand, three hundred twenty-five".