1005051061050 has 96 divisors (see below), whose sum is σ = 2639964638592. Its totient is φ = 252169850880.

The previous prime is 1005051060989. The next prime is 1005051061057. The reversal of 1005051061050 is 501601505001.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005051061050.

It is not an unprimeable number, because it can be changed into a prime (1005051061057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8388667 + ... + 8507633.

It is an arithmetic number, because the mean of its divisors is an integer number (27499631652).

Almost surely, 2^{1005051061050} is an apocalyptic number.

1005051061050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005051061050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319982319296).

1005051061050 is an abundant number, since it is smaller than the sum of its proper divisors (1634913577542).

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

1005051061050 is a wasteful number, since it uses less digits than its factorization.

1005051061050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122312 (or 122307 counting only the distinct ones).

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

Adding to 1005051061050 its reverse (501601505001), we get a palindrome (1506652566051).

The spelling of 1005051061050 in words is "one trillion, five billion, fifty-one million, sixty-one thousand, fifty".