201759054133 has 60 divisors (see below), whose sum is σ = 261311140860. Its totient is φ = 155319117408.

The previous prime is 201759054131. The next prime is 201759054137. The reversal of 201759054133 is 331450957102.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 10 ways, for example, as 114638447889 + 87120606244 = 338583^2 + 295162^2 .

It is not a de Polignac number, because 201759054133 - 2¹ = 201759054131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201759054131) 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 59 ways as a sum of consecutive naturals, for example, 5452947391 + ... + 5452947427.

It is an arithmetic number, because the mean of its divisors is an integer number (4355185681).

Almost surely, 2^201759054133 is an apocalyptic number.

It is an amenable number.

201759054133 is a deficient number, since it is larger than the sum of its proper divisors (59552086727).

201759054133 is an frugal number, since it uses more digits than its factorization.

201759054133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The spelling of 201759054133 in words is "two hundred one billion, seven hundred fifty-nine million, fifty-four thousand, one hundred thirty-three".