405509000901 has 16 divisors (see below), whose sum is σ = 558386784000. Its totient is φ = 261614532608.

The previous prime is 405509000881. The next prime is 405509000957. The reversal of 405509000901 is 109000905504.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-405509000901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405509000401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16144476 + ... + 16169573.

It is an arithmetic number, because the mean of its divisors is an integer number (34899174000).

Almost surely, 2^405509000901 is an apocalyptic number.

It is an amenable number.

405509000901 is a deficient number, since it is larger than the sum of its proper divisors (152877783099).

405509000901 is a wasteful number, since it uses less digits than its factorization.

405509000901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32314188.

The product of its (nonzero) digits is 8100, while the sum is 33.

The spelling of 405509000901 in words is "four hundred five billion, five hundred nine million, nine hundred one", and thus it is an aban number.