263641602001 has 2 divisors, whose sum is σ = 263641602002. Its totient is φ = 263641602000.

The previous prime is 263641601941. The next prime is 263641602041. The reversal of 263641602001 is 100206146362.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186330355600 + 77311246401 = 431660^2 + 278049^2 .

It is a cyclic number.

It is not a de Polignac number, because 263641602001 - 2³⁷ = 126202648529 is a prime.

It is not a weakly prime, because it can be changed into another prime (263641602041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131820801000 + 131820801001.

It is an arithmetic number, because the mean of its divisors is an integer number (131820801001).

Almost surely, 2^263641602001 is an apocalyptic number.

It is an amenable number.

263641602001 is a deficient number, since it is larger than the sum of its proper divisors (1).

263641602001 is an equidigital number, since it uses as much as digits as its factorization.

263641602001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 263641602001 its reverse (100206146362), we get a palindrome (363847748363).

The spelling of 263641602001 in words is "two hundred sixty-three billion, six hundred forty-one million, six hundred two thousand, one".