1005325352451 has 64 divisors (see below), whose sum is σ = 1713769021440. Its totient is φ = 570558310560.

The previous prime is 1005325352431. The next prime is 1005325352477. The reversal of 1005325352451 is 1542535235001.

1005325352451 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 32 + 53 + 524 + 51 = 666.

It is not a de Polignac number, because 1005325352451 - 2⁵ = 1005325352419 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005325352431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18137686 + ... + 18193028.

It is an arithmetic number, because the mean of its divisors is an integer number (26777640960).

Almost surely, 2^{1005325352451} is an apocalyptic number.

1005325352451 is a deficient number, since it is larger than the sum of its proper divisors (708443668989).

1005325352451 is a wasteful number, since it uses less digits than its factorization.

1005325352451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56013 (or 56007 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 1005325352451 in words is "one trillion, five billion, three hundred twenty-five million, three hundred fifty-two thousand, four hundred fifty-one".