505105010527 has 16 divisors (see below), whose sum is σ = 576682177792. Its totient is φ = 439015541760.

The previous prime is 505105010521. The next prime is 505105010537. The reversal of 505105010527 is 725010501505.

It is a cyclic number.

It is not a de Polignac number, because 505105010527 - 2³¹ = 502957526879 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505105010521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16922418 + ... + 16952239.

It is an arithmetic number, because the mean of its divisors is an integer number (36042636112).

Almost surely, 2^505105010527 is an apocalyptic number.

505105010527 is a deficient number, since it is larger than the sum of its proper divisors (71577167265).

505105010527 is a wasteful number, since it uses less digits than its factorization.

505105010527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33874738.

The product of its (nonzero) digits is 8750, while the sum is 31.

The spelling of 505105010527 in words is "five hundred five billion, one hundred five million, ten thousand, five hundred twenty-seven".