505001010600 has 144 divisors (see below), whose sum is σ = 1795724290620. Its totient is φ = 126745344000.

The previous prime is 505001010559. The next prime is 505001010601. The reversal of 505001010600 is 6010100505.

505001010600 is a `hidden beast` number, since 5 + 0 + 50 + 0 + 1 + 0 + 10 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 402156368964 + 102844641636 = 634158^2 + 320694^2 .

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

It is not an unprimeable number, because it can be changed into a prime (505001010601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8221051 + ... + 8282250.

Almost surely, 2^505001010600 is an apocalyptic number.

505001010600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505001010600 is an abundant number, since it is smaller than the sum of its proper divisors (1290723280020).

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

505001010600 is a wasteful number, since it uses less digits than its factorization.

505001010600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16503340 (or 16503328 counting only the distinct ones).

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

The spelling of 505001010600 in words is "five hundred five billion, one million, ten thousand, six hundred".