2047626564101 has 2 divisors, whose sum is σ = 2047626564102. Its totient is φ = 2047626564100.

The previous prime is 2047626564077. The next prime is 2047626564133. The reversal of 2047626564101 is 1014656267402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1733159085025 + 314467479076 = 1316495^2 + 560774^2 .

It is a cyclic number.

It is not a de Polignac number, because 2047626564101 - 2¹⁴ = 2047626547717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2047626564001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1023813282050 + 1023813282051.

It is an arithmetic number, because the mean of its divisors is an integer number (1023813282051).

Almost surely, 2^{2047626564101} is an apocalyptic number.

It is an amenable number.

2047626564101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2047626564101 is an equidigital number, since it uses as much as digits as its factorization.

2047626564101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 2047626564101 in words is "two trillion, forty-seven billion, six hundred twenty-six million, five hundred sixty-four thousand, one hundred one".