1006051051050 has 48 divisors (see below), whose sum is σ = 2495365589952. Its totient is φ = 268241680000.

The previous prime is 1006051051009. The next prime is 1006051051051. The reversal of 1006051051050 is 501501506001.

It is a super-2 number, since 2×1006051051050² (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 1006051051050.

It is not an unprimeable number, because it can be changed into a prime (1006051051051) by changing a digit.

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, 571147 + ... + 1529153.

It is an arithmetic number, because the mean of its divisors is an integer number (51986783124).

Almost surely, 2^{1006051051050} is an apocalyptic number.

1006051051050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006051051050 is an abundant number, since it is smaller than the sum of its proper divisors (1489314538902).

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

1006051051050 is a wasteful number, since it uses less digits than its factorization.

1006051051050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965023 (or 965018 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 1006051051050 its reverse (501501506001), we get a palindrome (1507552557051).

The spelling of 1006051051050 in words is "one trillion, six billion, fifty-one million, fifty-one thousand, fifty".