201214767753 has 24 divisors (see below), whose sum is σ = 310912835688. Its totient is φ = 124950822912.

The previous prime is 201214767751. The next prime is 201214767769. The reversal of 201214767753 is 357767412102.

201214767753 is a `hidden beast` number, since 2 + 0 + 121 + 476 + 7 + 7 + 53 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33367232889 + 167847534864 = 182667^2 + 409692^2 .

It is not a de Polignac number, because 201214767753 - 2¹ = 201214767751 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201214767699 and 201214767708.

It is not an unprimeable number, because it can be changed into a prime (201214767751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6764176 + ... + 6793857.

It is an arithmetic number, because the mean of its divisors is an integer number (12954701487).

Almost surely, 2^201214767753 is an apocalyptic number.

It is an amenable number.

201214767753 is a deficient number, since it is larger than the sum of its proper divisors (109698067935).

201214767753 is a wasteful number, since it uses less digits than its factorization.

201214767753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13558153 (or 13558150 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

It can be divided in two parts, 20121 and 4767753, that added together give a palindrome (4787874).

The spelling of 201214767753 in words is "two hundred one billion, two hundred fourteen million, seven hundred sixty-seven thousand, seven hundred fifty-three".