505212635501 has 12 divisors (see below), whose sum is σ = 589573973052. Its totient is φ = 431655876288.

The previous prime is 505212635489. The next prime is 505212635507. The reversal of 505212635501 is 105536212505.

It can be written as a sum of positive squares in 2 ways, for example, as 261622020100 + 243590615401 = 511490^2 + 493549^2 .

It is not a de Polignac number, because 505212635501 - 2²² = 505208441197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505212635507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16455050 + ... + 16485723.

It is an arithmetic number, because the mean of its divisors is an integer number (49131164421).

Almost surely, 2^505212635501 is an apocalyptic number.

It is an amenable number.

505212635501 is a deficient number, since it is larger than the sum of its proper divisors (84361337551).

505212635501 is a wasteful number, since it uses less digits than its factorization.

505212635501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32941100 (or 32941093 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

The spelling of 505212635501 in words is "five hundred five billion, two hundred twelve million, six hundred thirty-five thousand, five hundred one".