405509000957 has 2 divisors, whose sum is σ = 405509000958. Its totient is φ = 405509000956.

The previous prime is 405509000881. The next prime is 405509000977. The reversal of 405509000957 is 759000905504.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 377316576121 + 28192424836 = 614261^2 + 167906^2 .

It is a cyclic number.

It is not a de Polignac number, because 405509000957 - 2³⁶ = 336789524221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405509000977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202754500478 + 202754500479.

It is an arithmetic number, because the mean of its divisors is an integer number (202754500479).

Almost surely, 2^405509000957 is an apocalyptic number.

It is an amenable number.

405509000957 is a deficient number, since it is larger than the sum of its proper divisors (1).

405509000957 is an equidigital number, since it uses as much as digits as its factorization.

405509000957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 283500, while the sum is 44.

The spelling of 405509000957 in words is "four hundred five billion, five hundred nine million, nine hundred fifty-seven", and thus it is an aban number.