1005110501000 has 128 divisors (see below), whose sum is σ = 2401603832160. Its totient is φ = 393638400000.

The previous prime is 1005110500993. The next prime is 1005110501009. The reversal of 1005110501000 is 1050115001.

It can be written as a sum of positive squares in 16 ways, for example, as 101443524004 + 903666976996 = 318502^2 + 950614^2 .

It is not an unprimeable number, because it can be changed into a prime (1005110501009) 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, 9950750 + ... + 10051250.

Almost surely, 2^{1005110501000} is an apocalyptic number.

1005110501000 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 1005110501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200801916080).

1005110501000 is an abundant number, since it is smaller than the sum of its proper divisors (1396493331160).

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

1005110501000 is a wasteful number, since it uses less digits than its factorization.

1005110501000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100732 (or 100718 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 1005110501000 its reverse (1050115001), we get a palindrome (1006160616001).

The spelling of 1005110501000 in words is "one trillion, five billion, one hundred ten million, five hundred one thousand".