31826082214521 has 189 divisors, whose sum is σ = 58620415974453. Its totient is φ = 17218190288880.

The previous prime is 31826082214499. The next prime is 31826082214523. The reversal of 31826082214521 is 12541228062813.

The square root of 31826082214521 is 5641461.

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

31826082214521 is a `hidden beast` number, since 3 + 1 + 8 + 2 + 608 + 2 + 2 + 14 + 5 + 21 = 666.

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 31826082214521 - 2¹⁵ = 31826082181753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31826082214523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 20258485666 + ... + 20258487236.

Almost surely, 2^{31826082214521} is an apocalyptic number.

31826082214521 is the 5641461-st square number.

31826082214521 is the 2820731-st centered octagonal number.

It is an amenable number.

31826082214521 is a deficient number, since it is larger than the sum of its proper divisors (26794333759932).

31826082214521 is an frugal number, since it uses more digits than its factorization.

31826082214521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 31826082214521 in words is "thirty-one trillion, eight hundred twenty-six billion, eighty-two million, two hundred fourteen thousand, five hundred twenty-one".