1605542772353 has 16 divisors (see below), whose sum is σ = 1744828848000. Its totient is φ = 1468552325760.

The previous prime is 1605542772349. The next prime is 1605542772389. The reversal of 1605542772353 is 3532772455061.

It is not a de Polignac number, because 1605542772353 - 2² = 1605542772349 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1605542772343) 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, 88748 + ... + 1794146.

It is an arithmetic number, because the mean of its divisors is an integer number (109051803000).

Almost surely, 2^{1605542772353} is an apocalyptic number.

1605542772353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1605542772353 is a deficient number, since it is larger than the sum of its proper divisors (139286075647).

1605542772353 is a wasteful number, since it uses less digits than its factorization.

1605542772353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706072.

The product of its (nonzero) digits is 5292000, while the sum is 50.

The spelling of 1605542772353 in words is "one trillion, six hundred five billion, five hundred forty-two million, seven hundred seventy-two thousand, three hundred fifty-three".