432591948780401 has 2 divisors, whose sum is σ = 432591948780402. Its totient is φ = 432591948780400.

The previous prime is 432591948780353. The next prime is 432591948780449. The reversal of 432591948780401 is 104087849195234.

It is a balanced prime because it is at equal distance from previous prime (432591948780353) and next prime (432591948780449).

It can be written as a sum of positive squares in only one way, i.e., 337759117394176 + 94832831386225 = 18378224^2 + 9738215^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-432591948780401 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (432591948780461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 216295974390200 + 216295974390201.

It is an arithmetic number, because the mean of its divisors is an integer number (216295974390201).

Almost surely, 2^{432591948780401} is an apocalyptic number.

It is an amenable number.

432591948780401 is a deficient number, since it is larger than the sum of its proper divisors (1).

432591948780401 is an equidigital number, since it uses as much as digits as its factorization.

432591948780401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69672960, while the sum is 65.

The spelling of 432591948780401 in words is "four hundred thirty-two trillion, five hundred ninety-one billion, nine hundred forty-eight million, seven hundred eighty thousand, four hundred one".