505557755505 has 64 divisors (see below), whose sum is σ = 980701136640. Its totient is φ = 245062540800.

The previous prime is 505557755473. The next prime is 505557755513.

505557755505 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 505557755505 - 2⁵ = 505557755473 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6825349 + ... + 6899021.

It is an arithmetic number, because the mean of its divisors is an integer number (15323455260).

Almost surely, 2^505557755505 is an apocalyptic number.

505557755505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505557755505 is a deficient number, since it is larger than the sum of its proper divisors (475143381135).

505557755505 is a wasteful number, since it uses less digits than its factorization.

505557755505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78319 (or 78313 counting only the distinct ones).

The product of its (nonzero) digits is 19140625, while the sum is 54.

The spelling of 505557755505 in words is "five hundred five billion, five hundred fifty-seven million, seven hundred fifty-five thousand, five hundred five".