1005050061060 has 96 divisors (see below), whose sum is σ = 2859035676672. Its totient is φ = 263745694080.

The previous prime is 1005050061017. The next prime is 1005050061061. The reversal of 1005050061060 is 601600505001.

It is a self number, because there is not a number n which added to its sum of digits gives 1005050061060.

It is not an unprimeable number, because it can be changed into a prime (1005050061061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3857679 + ... + 4109961.

It is an arithmetic number, because the mean of its divisors is an integer number (29781621632).

Almost surely, 2^{1005050061060} is an apocalyptic number.

1005050061060 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 1005050061060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429517838336).

1005050061060 is an abundant number, since it is smaller than the sum of its proper divisors (1853985615612).

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

1005050061060 is a wasteful number, since it uses less digits than its factorization.

1005050061060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253353 (or 253351 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 1005050061060 its reverse (601600505001), we get a palindrome (1606650566061).

The spelling of 1005050061060 in words is "one trillion, five billion, fifty million, sixty-one thousand, sixty".