1001006050500 has 72 divisors (see below), whose sum is σ = 3157840434840. Its totient is φ = 266934945600.

The previous prime is 1001006050481. The next prime is 1001006050507. The reversal of 1001006050500 is 50506001001.

1001006050500 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 0 + 605 + 0 + 50 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45707019264 + 955299031236 = 213792^2 + 977394^2 .

It is a super-2 number, since 2×1001006050500² (a number of 25 digits) contains 22 as substring.

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 (1001006050507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111218395 + ... + 111227394.

Almost surely, 2^{1001006050500} is an apocalyptic number.

1001006050500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001006050500 is an abundant number, since it is smaller than the sum of its proper divisors (2156834384340).

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

1001006050500 is a wasteful number, since it uses less digits than its factorization.

1001006050500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222445814 (or 222445799 counting only the distinct ones).

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

The spelling of 1001006050500 in words is "one trillion, one billion, six million, fifty thousand, five hundred".