505100000610 has 256 divisors, whose sum is σ = 1394547840000. Its totient is φ = 130010019840.

The previous prime is 505100000609. The next prime is 505100000663. The reversal of 505100000610 is 16000001505.

505100000610 is a `hidden beast` number, since 5 + 0 + 51 + 0 + 0 + 0 + 0 + 0 + 610 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 592144944 + ... + 592145796.

It is an arithmetic number, because the mean of its divisors is an integer number (5447452500).

Almost surely, 2^505100000610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505100000610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697273920000).

505100000610 is an abundant number, since it is smaller than the sum of its proper divisors (889447839390).

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

505100000610 is a wasteful number, since it uses less digits than its factorization.

505100000610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1412 counting only the distinct ones).

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

The spelling of 505100000610 in words is "five hundred five billion, one hundred million, six hundred ten", and thus it is an aban number.