1005505100500 has 24 divisors (see below), whose sum is σ = 2196023140584. Its totient is φ = 402202040000.

The previous prime is 1005505100477. The next prime is 1005505100513. The reversal of 1005505100500 is 50015055001.

1005505100500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 57055055044 + 948450045456 = 238862^2 + 973884^2 .

It is a super-2 number, since 2×1005505100500² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1005504601 + ... + 1005505600.

It is an arithmetic number, because the mean of its divisors is an integer number (91500964191).

Almost surely, 2^{1005505100500} is an apocalyptic number.

1005505100500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005505100500 is an abundant number, since it is smaller than the sum of its proper divisors (1190518040084).

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

1005505100500 is a wasteful number, since it uses less digits than its factorization.

1005505100500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011010220 (or 2011010208 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 22.

It can be divided in two parts, 1005 and 505100500, that added together give a palindrome (505101505).

The spelling of 1005505100500 in words is "one trillion, five billion, five hundred five million, one hundred thousand, five hundred".