505225624401 has 32 divisors (see below), whose sum is σ = 757136304000. Its totient is φ = 332925272064.

The previous prime is 505225624391. The next prime is 505225624417. The reversal of 505225624401 is 104426522505.

505225624401 is a `hidden beast` number, since 5 + 0 + 5 + 2 + 25 + 624 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 505225624401 - 2⁵ = 505225624369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (505225824401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7799121 + ... + 7863633.

It is an arithmetic number, because the mean of its divisors is an integer number (23660509500).

Almost surely, 2^505225624401 is an apocalyptic number.

It is an amenable number.

505225624401 is a deficient number, since it is larger than the sum of its proper divisors (251910679599).

505225624401 is a wasteful number, since it uses less digits than its factorization.

505225624401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67870 (or 67864 counting only the distinct ones).

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

The spelling of 505225624401 in words is "five hundred five billion, two hundred twenty-five million, six hundred twenty-four thousand, four hundred one".