404432311213153 has 2 divisors, whose sum is σ = 404432311213154. Its totient is φ = 404432311213152.

The previous prime is 404432311213003. The next prime is 404432311213211. The reversal of 404432311213153 is 351312113234404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 269661294148689 + 134771017064464 = 16421367^2 + 11609092^2 .

It is a cyclic number.

It is not a de Polignac number, because 404432311213153 - 2¹⁷ = 404432311082081 is a prime.

It is not a weakly prime, because it can be changed into another prime (404432311213753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202216155606576 + 202216155606577.

It is an arithmetic number, because the mean of its divisors is an integer number (202216155606577).

Almost surely, 2^{404432311213153} is an apocalyptic number.

It is an amenable number.

404432311213153 is a deficient number, since it is larger than the sum of its proper divisors (1).

404432311213153 is an equidigital number, since it uses as much as digits as its factorization.

404432311213153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 404432311213153 its reverse (351312113234404), we get a palindrome (755744424447557).

The spelling of 404432311213153 in words is "four hundred four trillion, four hundred thirty-two billion, three hundred eleven million, two hundred thirteen thousand, one hundred fifty-three".