456513430001 has 2 divisors, whose sum is σ = 456513430002. Its totient is φ = 456513430000.

The previous prime is 456513429997. The next prime is 456513430013. The reversal of 456513430001 is 100034315654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 435337359601 + 21176070400 = 659801^2 + 145520^2 .

It is a cyclic number.

It is not a de Polignac number, because 456513430001 - 2² = 456513429997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 456513430001.

It is not a weakly prime, because it can be changed into another prime (456513430601) 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, 228256715000 + 228256715001.

It is an arithmetic number, because the mean of its divisors is an integer number (228256715001).

Almost surely, 2^456513430001 is an apocalyptic number.

It is an amenable number.

456513430001 is a deficient number, since it is larger than the sum of its proper divisors (1).

456513430001 is an equidigital number, since it uses as much as digits as its factorization.

456513430001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 456513430001 its reverse (100034315654), we get a palindrome (556547745655).

The spelling of 456513430001 in words is "four hundred fifty-six billion, five hundred thirteen million, four hundred thirty thousand, one".