405125993 has 2 divisors, whose sum is σ = 405125994. Its totient is φ = 405125992.

The previous prime is 405125971. The next prime is 405126013. The reversal of 405125993 is 399521504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 343472089 + 61653904 = 18533^2 + 7852^2 .

It is a cyclic number.

It is not a de Polignac number, because 405125993 - 2¹⁰ = 405124969 is a prime.

It is not a weakly prime, because it can be changed into another prime (405125293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202562996 + 202562997.

It is an arithmetic number, because the mean of its divisors is an integer number (202562997).

Almost surely, 2^405125993 is an apocalyptic number.

It is an amenable number.

405125993 is a deficient number, since it is larger than the sum of its proper divisors (1).

405125993 is an equidigital number, since it uses as much as digits as its factorization.

405125993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48600, while the sum is 38.

The square root of 405125993 is about 20127.7418753322. The cubic root of 405125993 is about 739.9403366798.

The spelling of 405125993 in words is "four hundred five million, one hundred twenty-five thousand, nine hundred ninety-three".