31772579520001 has 2 divisors, whose sum is σ = 31772579520002. Its totient is φ = 31772579520000.

The previous prime is 31772579519999. The next prime is 31772579520007. The reversal of 31772579520001 is 10002597527713.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29424375731776 + 2348203788225 = 5424424^2 + 1532385^2 .

It is a cyclic number.

It is not a de Polignac number, because 31772579520001 - 2¹ = 31772579519999 is a prime.

Together with 31772579519999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (31772579520007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15886289760000 + 15886289760001.

It is an arithmetic number, because the mean of its divisors is an integer number (15886289760001).

Almost surely, 2^{31772579520001} is an apocalyptic number.

It is an amenable number.

31772579520001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31772579520001 is an equidigital number, since it uses as much as digits as its factorization.

31772579520001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 926100, while the sum is 49.

The spelling of 31772579520001 in words is "thirty-one trillion, seven hundred seventy-two billion, five hundred seventy-nine million, five hundred twenty thousand, one".