31839826297041 has 81 divisors (see below), whose sum is σ = 54671642749659. Its totient is φ = 17803961346528.

The previous prime is 31839826297007. The next prime is 31839826297049. The reversal of 31839826297041 is 14079262893813.

The square root of 31839826297041 is 5642679.

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

31839826297041 is a `hidden beast` number, since 3 + 183 + 98 + 262 + 9 + 70 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18561061145025 + 13278765152016 = 4308255^2 + 3644004^2 .

It is not a de Polignac number, because 31839826297041 - 2³¹ = 31837678813393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 31839826297041.

It is not an unprimeable number, because it can be changed into a prime (31839826297049) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5569321315 + ... + 5569327031.

Almost surely, 2^{31839826297041} is an apocalyptic number.

31839826297041 is the 5642679-th square number.

31839826297041 is the 2821340-th centered octagonal number.

It is an amenable number.

31839826297041 is a deficient number, since it is larger than the sum of its proper divisors (22831816452618).

31839826297041 is an frugal number, since it uses more digits than its factorization.

31839826297041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11548 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 31839826297041 in words is "thirty-one trillion, eight hundred thirty-nine billion, eight hundred twenty-six million, two hundred ninety-seven thousand, forty-one".