505213006410 has 96 divisors (see below), whose sum is σ = 1556804575872. Its totient is φ = 115477254720.

The previous prime is 505213006399. The next prime is 505213006429. The reversal of 505213006410 is 14600312505.

505213006410 is a `hidden beast` number, since 5 + 0 + 5 + 2 + 13 + 0 + 0 + 641 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14833461 + ... + 14867480.

It is an arithmetic number, because the mean of its divisors is an integer number (16216714332).

Almost surely, 2^505213006410 is an apocalyptic number.

505213006410 is an abundant number, since it is smaller than the sum of its proper divisors (1051591569462).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505213006410 is a wasteful number, since it uses less digits than its factorization.

505213006410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29700970 (or 29700958 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 505213006410 its reverse (14600312505), we get a palindrome (519813318915).

The spelling of 505213006410 in words is "five hundred five billion, two hundred thirteen million, six thousand, four hundred ten".