31763808411721 has 9 divisors (see below), whose sum is σ = 32171422426983. Its totient is φ = 31361295284280.

The previous prime is 31763808411707. The next prime is 31763808411791. The reversal of 31763808411721 is 12711480836713.

The square root of 31763808411721 is 5635939.

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

It can be written as a sum of positive squares in only one way, i.e., 4330307121721 + 27433501290000 = 2080939^2 + 5237700^2 .

It is not a de Polignac number, because 31763808411721 - 2¹⁷ = 31763808280649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31763808411701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 445203511 + ... + 445274851.

It is an arithmetic number, because the mean of its divisors is an integer number (3574602491887).

Almost surely, 2^{31763808411721} is an apocalyptic number.

31763808411721 is the 5635939-th square number.

31763808411721 is the 2817970-th centered octagonal number.

It is an amenable number.

31763808411721 is a deficient number, since it is larger than the sum of its proper divisors (407614015262).

31763808411721 is an frugal number, since it uses more digits than its factorization.

31763808411721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142840 (or 71420 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 52.

The spelling of 31763808411721 in words is "thirty-one trillion, seven hundred sixty-three billion, eight hundred eight million, four hundred eleven thousand, seven hundred twenty-one".