1005501552100 has 72 divisors (see below), whose sum is σ = 2248077941928. Its totient is φ = 390122419200.

The previous prime is 1005501552079. The next prime is 1005501552113. The reversal of 1005501552100 is 12551055001.

It can be written as a sum of positive squares in 12 ways, for example, as 101769932196 + 903731619904 = 319014^2 + 950648^2 .

It is a super-2 number, since 2×1005501552100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 502 + ... + 1418098.

It is an arithmetic number, because the mean of its divisors is an integer number (31223304749).

Almost surely, 2^{1005501552100} is an apocalyptic number.

1005501552100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005501552100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124038970964).

1005501552100 is an abundant number, since it is smaller than the sum of its proper divisors (1242576389828).

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

1005501552100 is a wasteful number, since it uses less digits than its factorization.

1005501552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417825 (or 1417818 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 25.

The spelling of 1005501552100 in words is "one trillion, five billion, five hundred one million, five hundred fifty-two thousand, one hundred".