405303003137 has 2 divisors, whose sum is σ = 405303003138. Its totient is φ = 405303003136.

The previous prime is 405303003107. The next prime is 405303003211. The reversal of 405303003137 is 731300303504.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 328379425936 + 76923577201 = 573044^2 + 277351^2 .

It is a cyclic number.

It is not a de Polignac number, because 405303003137 - 2¹⁶ = 405302937601 is a prime.

It is not a weakly prime, because it can be changed into another prime (405303003107) 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, 202651501568 + 202651501569.

It is an arithmetic number, because the mean of its divisors is an integer number (202651501569).

Almost surely, 2^405303003137 is an apocalyptic number.

It is an amenable number.

405303003137 is a deficient number, since it is larger than the sum of its proper divisors (1).

405303003137 is an equidigital number, since it uses as much as digits as its factorization.

405303003137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 29.

The spelling of 405303003137 in words is "four hundred five billion, three hundred three million, three thousand, one hundred thirty-seven".