1610642733201 has 16 divisors (see below), whose sum is σ = 2386169704320. Its totient is φ = 1073747277360.

The previous prime is 1610642733163. The next prime is 1610642733239. The reversal of 1610642733201 is 1023372460161.

1610642733201 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 64 + 273 + 320 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1610642733163) and next prime (1610642733239).

It is not a de Polignac number, because 1610642733201 - 2¹⁴ = 1610642716817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1610642733901) 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 15 ways as a sum of consecutive naturals, for example, 1856011 + ... + 2581871.

It is an arithmetic number, because the mean of its divisors is an integer number (149135606520).

Almost surely, 2^{1610642733201} is an apocalyptic number.

It is an amenable number.

1610642733201 is a deficient number, since it is larger than the sum of its proper divisors (775526971119).

1610642733201 is an equidigital number, since it uses as much as digits as its factorization.

1610642733201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808053 (or 808047 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 1610642733201 in words is "one trillion, six hundred ten billion, six hundred forty-two million, seven hundred thirty-three thousand, two hundred one".