2005501305351 has 8 divisors (see below), whose sum is σ = 2675049967744. Its totient is φ = 1336476756600.

The previous prime is 2005501305341. The next prime is 2005501305359. The reversal of 2005501305351 is 1535031055002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2005501305351 - 2⁶ = 2005501305287 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005501305359) 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 7 ways as a sum of consecutive naturals, for example, 131019481 + ... + 131034786.

It is an arithmetic number, because the mean of its divisors is an integer number (334381245968).

Almost surely, 2^{2005501305351} is an apocalyptic number.

2005501305351 is a deficient number, since it is larger than the sum of its proper divisors (669548662393).

2005501305351 is a wasteful number, since it uses less digits than its factorization.

2005501305351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262056821.

The product of its (nonzero) digits is 11250, while the sum is 30.

The spelling of 2005501305351 in words is "two trillion, five billion, five hundred one million, three hundred five thousand, three hundred fifty-one".