1005061061010 has 64 divisors (see below), whose sum is σ = 2419776581760. Its totient is φ = 267169789440.

The previous prime is 1005061060999. The next prime is 1005061061027. The reversal of 1005061061010 is 101601605001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12653620 + ... + 12732800.

It is an arithmetic number, because the mean of its divisors is an integer number (37809009090).

Almost surely, 2^{1005061061010} is an apocalyptic number.

1005061061010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005061061010 is an abundant number, since it is smaller than the sum of its proper divisors (1414715520750).

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

1005061061010 is a wasteful number, since it uses less digits than its factorization.

1005061061010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80523.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 1005061061010 its reverse (101601605001), we get a palindrome (1106662666011).

The spelling of 1005061061010 in words is "one trillion, five billion, sixty-one million, sixty-one thousand, ten".