1605115651601 has 32 divisors (see below), whose sum is σ = 2010195747072. Its totient is φ = 1245112565760.

The previous prime is 1605115651591. The next prime is 1605115651637. The reversal of 1605115651601 is 1061565115061.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-1605115651601 is a prime.

It is a super-3 number, since 3×1605115651601³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1605115651691) 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 31 ways as a sum of consecutive naturals, for example, 33558035 + ... + 33605831.

It is an arithmetic number, because the mean of its divisors is an integer number (62818617096).

Almost surely, 2^{1605115651601} is an apocalyptic number.

1605115651601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1605115651601 is a deficient number, since it is larger than the sum of its proper divisors (405080095471).

1605115651601 is a wasteful number, since it uses less digits than its factorization.

1605115651601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49769.

The product of its (nonzero) digits is 27000, while the sum is 38.

The spelling of 1605115651601 in words is "one trillion, six hundred five billion, one hundred fifteen million, six hundred fifty-one thousand, six hundred one".