1005403355052 has 48 divisors (see below), whose sum is σ = 2421753019392. Its totient is φ = 324305403840.

The previous prime is 1005403354997. The next prime is 1005403355057. The reversal of 1005403355052 is 2505533045001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1005403355057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7572463 + ... + 7704089.

It is an arithmetic number, because the mean of its divisors is an integer number (50453187904).

Almost surely, 2^{1005403355052} is an apocalyptic number.

1005403355052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005403355052 is an abundant number, since it is smaller than the sum of its proper divisors (1416349664340).

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

1005403355052 is a wasteful number, since it uses less digits than its factorization.

1005403355052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152198 (or 152196 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The spelling of 1005403355052 in words is "one trillion, five billion, four hundred three million, three hundred fifty-five thousand, fifty-two".