31273025188441 has 9 divisors (see below), whose sum is σ = 31303504539709. Its totient is φ = 31242575501536.

The previous prime is 31273025188397. The next prime is 31273025188469. The reversal of 31273025188441 is 14488152037213.

It is a happy number.

The square root of 31273025188441 is 5592229.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1569435178441 + 29703590010000 = 1252771^2 + 5450100^2 .

It is a de Polignac number, because none of the positive numbers 2^k-31273025188441 is a prime.

It is a super-3 number, since 3×31273025188441³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31273026188441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7678128381 + ... + 7678132453.

Almost surely, 2^{31273025188441} is an apocalyptic number.

31273025188441 is the 5592229-th square number.

31273025188441 is the 2796115-th centered octagonal number.

It is an amenable number.

31273025188441 is a deficient number, since it is larger than the sum of its proper divisors (30479351268).

31273025188441 is an frugal number, since it uses more digits than its factorization.

31273025188441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10892 (or 5446 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The spelling of 31273025188441 in words is "thirty-one trillion, two hundred seventy-three billion, twenty-five million, one hundred eighty-eight thousand, four hundred forty-one".