505601532625 has 48 divisors (see below), whose sum is σ = 777186800208. Its totient is φ = 326304115200.

The previous prime is 505601532571. The next prime is 505601532707. The reversal of 505601532625 is 526235106505.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 184493443729 + 321108088896 = 429527^2 + 566664^2 .

It is not a de Polignac number, because 505601532625 - 2⁷ = 505601532497 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2323734 + ... + 2531983.

It is an arithmetic number, because the mean of its divisors is an integer number (16191391671).

Almost surely, 2^505601532625 is an apocalyptic number.

It is an amenable number.

505601532625 is a deficient number, since it is larger than the sum of its proper divisors (271585267583).

505601532625 is a wasteful number, since it uses less digits than its factorization.

505601532625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4855763 (or 4855746 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 40.

The spelling of 505601532625 in words is "five hundred five billion, six hundred one million, five hundred thirty-two thousand, six hundred twenty-five".