1005253511112 has 24 divisors (see below), whose sum is σ = 2722561592790. Its totient is φ = 335084503680.

The previous prime is 1005253511111. The next prime is 1005253511113. The reversal of 1005253511112 is 2111153525001.

It is a happy number.

1005253511112 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 2 + 535 + 11 + 112 = 666.

1005253511112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1005253511111) and next prime (1005253511113).

It can be written as a sum of positive squares in only one way, i.e., 882183048516 + 123070462596 = 939246^2 + 350814^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (1005253511111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6980927089 + ... + 6980927232.

Almost surely, 2^{1005253511112} is an apocalyptic number.

1005253511112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005253511112 is an abundant number, since it is smaller than the sum of its proper divisors (1717308081678).

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

1005253511112 is a wasteful number, since it uses less digits than its factorization.

1005253511112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13961854333 (or 13961854326 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The spelling of 1005253511112 in words is "one trillion, five billion, two hundred fifty-three million, five hundred eleven thousand, one hundred twelve".