20627552031001 has 2 divisors, whose sum is σ = 20627552031002. Its totient is φ = 20627552031000.

The previous prime is 20627552030999. The next prime is 20627552031011. The reversal of 20627552031001 is 10013025572602.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15007101210000 + 5620450821001 = 3873900^2 + 2370749^2 .

It is a cyclic number.

It is not a de Polignac number, because 20627552031001 - 2¹ = 20627552030999 is a prime.

Together with 20627552030999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (20627552031011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10313776015500 + 10313776015501.

It is an arithmetic number, because the mean of its divisors is an integer number (10313776015501).

Almost surely, 2^{20627552031001} is an apocalyptic number.

It is an amenable number.

20627552031001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20627552031001 is an equidigital number, since it uses as much as digits as its factorization.

20627552031001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 20627552031001 in words is "twenty trillion, six hundred twenty-seven billion, five hundred fifty-two million, thirty-one thousand, one".