1005415522112 has 56 divisors (see below), whose sum is σ = 2112654768840. Its totient is φ = 473097912320.

The previous prime is 1005415522049. The next prime is 1005415522117. The reversal of 1005415522112 is 2112255145001.

It can be written as a sum of positive squares in 4 ways, for example, as 101592637696 + 903822884416 = 318736^2 + 950696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005415522117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16582412 + ... + 16642932.

It is an arithmetic number, because the mean of its divisors is an integer number (37725978015).

Almost surely, 2^{1005415522112} is an apocalyptic number.

It is an amenable number.

1005415522112 is an abundant number, since it is smaller than the sum of its proper divisors (1107239246728).

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

1005415522112 is a wasteful number, since it uses less digits than its factorization.

1005415522112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75819 (or 75809 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 29.

The spelling of 1005415522112 in words is "one trillion, five billion, four hundred fifteen million, five hundred twenty-two thousand, one hundred twelve".