505363640401 has 16 divisors (see below), whose sum is σ = 510518181888. Its totient is φ = 500228946000.

The previous prime is 505363640363. The next prime is 505363640437. The reversal of 505363640401 is 104046363505.

It is a cyclic number.

It is not a de Polignac number, because 505363640401 - 2⁹ = 505363639889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505363640461) 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, 136915966 + ... + 136919656.

It is an arithmetic number, because the mean of its divisors is an integer number (31907386368).

Almost surely, 2^505363640401 is an apocalyptic number.

It is an amenable number.

505363640401 is a deficient number, since it is larger than the sum of its proper divisors (5154541487).

505363640401 is a wasteful number, since it uses less digits than its factorization.

505363640401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6012.

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 505363640401 in words is "five hundred five billion, three hundred sixty-three million, six hundred forty thousand, four hundred one".