1005551101050 has 48 divisors (see below), whose sum is σ = 2525333427840. Its totient is φ = 264752691840.

The previous prime is 1005551101007. The next prime is 1005551101067. The reversal of 1005551101050 is 501011555001.

It is a super-2 number, since 2×1005551101050² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005551101050.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42416467 + ... + 42440166.

It is an arithmetic number, because the mean of its divisors is an integer number (52611113080).

Almost surely, 2^{1005551101050} is an apocalyptic number.

1005551101050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005551101050 is an abundant number, since it is smaller than the sum of its proper divisors (1519782326790).

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

1005551101050 is a wasteful number, since it uses less digits than its factorization.

1005551101050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84856727 (or 84856722 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 24.

Adding to 1005551101050 its reverse (501011555001), we get a palindrome (1506562656051).

It can be divided in two parts, 10055 and 51101050, that added together give a triangular number (51111105 = T₁₀₁₁₀).

The spelling of 1005551101050 in words is "one trillion, five billion, five hundred fifty-one million, one hundred one thousand, fifty".