2591945972801 has 2 divisors, whose sum is σ = 2591945972802. Its totient is φ = 2591945972800.

The previous prime is 2591945972789. The next prime is 2591945972809. The reversal of 2591945972801 is 1082795491952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2467887044401 + 124058928400 = 1570951^2 + 352220^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2591945972801 is a prime.

It is not a weakly prime, because it can be changed into another prime (2591945972809) 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 as a sum of consecutive naturals, namely, 1295972986400 + 1295972986401.

It is an arithmetic number, because the mean of its divisors is an integer number (1295972986401).

Almost surely, 2^{2591945972801} is an apocalyptic number.

It is an amenable number.

2591945972801 is a deficient number, since it is larger than the sum of its proper divisors (1).

2591945972801 is an equidigital number, since it uses as much as digits as its factorization.

2591945972801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16329600, while the sum is 62.

The spelling of 2591945972801 in words is "two trillion, five hundred ninety-one billion, nine hundred forty-five million, nine hundred seventy-two thousand, eight hundred one".