505610010 has 24 divisors (see below), whose sum is σ = 1314586260. Its totient is φ = 134829312.

The previous prime is 505610009. The next prime is 505610051. The reversal of 505610010 is 10016505.

505610010 is a `hidden beast` number, since 50 + 5 + 610 + 0 + 1 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 455865201 + 49744809 = 21351^2 + 7053^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 2808855 + ... + 2809034.

Almost surely, 2^505610010 is an apocalyptic number.

505610010 is an abundant number, since it is smaller than the sum of its proper divisors (808976250).

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

505610010 is a wasteful number, since it uses less digits than its factorization.

505610010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5617902 (or 5617899 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 505610010 is about 22485.7735023726. The cubic root of 505610010 is about 796.6579379268.

Adding to 505610010 its reverse (10016505), we get a palindrome (515626515).

The spelling of 505610010 in words is "five hundred five million, six hundred ten thousand, ten".