201764505753 has 12 divisors (see below), whose sum is σ = 291441526740. Its totient is φ = 134507867136.

The previous prime is 201764505743. The next prime is 201764505821. The reversal of 201764505753 is 357505467102.

It is a happy number.

201764505753 is a `hidden beast` number, since 2 + 0 + 1 + 76 + 4 + 5 + 0 + 575 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 157615352064 + 44149153689 = 397008^2 + 210117^2 .

It is not a de Polignac number, because 201764505753 - 2³⁴ = 184584636569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201764505699 and 201764505708.

It is not an unprimeable number, because it can be changed into a prime (201764505743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1154953 + ... + 1318121.

It is an arithmetic number, because the mean of its divisors is an integer number (24286793895).

Almost surely, 2^201764505753 is an apocalyptic number.

It is an amenable number.

201764505753 is a deficient number, since it is larger than the sum of its proper divisors (89677020987).

201764505753 is a wasteful number, since it uses less digits than its factorization.

201764505753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300568 (or 300565 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 201764505753 in words is "two hundred one billion, seven hundred sixty-four million, five hundred five thousand, seven hundred fifty-three".