1005613408032 has 96 divisors (see below), whose sum is σ = 2646719712000. Its totient is φ = 334318245888.

The previous prime is 1005613408027. The next prime is 1005613408039. The reversal of 1005613408032 is 2308043165001.

1005613408032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1005613408032² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005613407984 and 1005613408002.

It is not an unprimeable number, because it can be changed into a prime (1005613408039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136833094 + ... + 136840442.

It is an arithmetic number, because the mean of its divisors is an integer number (27569997000).

Almost surely, 2^{1005613408032} is an apocalyptic number.

1005613408032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005613408032 is an abundant number, since it is smaller than the sum of its proper divisors (1641106303968).

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

1005613408032 is a wasteful number, since it uses less digits than its factorization.

1005613408032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10938 (or 10930 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 1005613408032 in words is "one trillion, five billion, six hundred thirteen million, four hundred eight thousand, thirty-two".