505525525505 has 96 divisors (see below), whose sum is σ = 822382896384. Its totient is φ = 290283840000.

The previous prime is 505525525501. The next prime is 505525525537.

It is a happy number.

505525525505 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 505525525505 - 2² = 505525525501 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (505525525501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27022655 + ... + 27041355.

It is an arithmetic number, because the mean of its divisors is an integer number (8566488504).

Almost surely, 2^505525525505 is an apocalyptic number.

505525525505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505525525505 is a deficient number, since it is larger than the sum of its proper divisors (316857370879).

505525525505 is a wasteful number, since it uses less digits than its factorization.

505525525505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19239 (or 19228 counting only the distinct ones).

The product of its (nonzero) digits is 1562500, while the sum is 44.

The spelling of 505525525505 in words is "five hundred five billion, five hundred twenty-five million, five hundred twenty-five thousand, five hundred five".