505200445641 has 48 divisors (see below), whose sum is σ = 848687898240. Its totient is φ = 287248135680.

The previous prime is 505200445627. The next prime is 505200445669. The reversal of 505200445641 is 146544002505.

505200445641 is a `hidden beast` number, since 5 + 0 + 5 + 2 + 0 + 0 + 4 + 4 + 5 + 641 = 666.

It is not a de Polignac number, because 505200445641 - 2²² = 505196251337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505200445596 and 505200445605.

It is not an unprimeable number, because it can be changed into a prime (505200445621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3711130 + ... + 3844851.

It is an arithmetic number, because the mean of its divisors is an integer number (17680997880).

Almost surely, 2^505200445641 is an apocalyptic number.

505200445641 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

505200445641 is a deficient number, since it is larger than the sum of its proper divisors (343487452599).

505200445641 is a wasteful number, since it uses less digits than its factorization.

505200445641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7556046 (or 7556043 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 505200445641 in words is "five hundred five billion, two hundred million, four hundred forty-five thousand, six hundred forty-one".