201142067825 has 12 divisors (see below), whose sum is σ = 250682242140. Its totient is φ = 160096829760.

The previous prime is 201142067713. The next prime is 201142067839. The reversal of 201142067825 is 528760241102.

It can be written as a sum of positive squares in 6 ways, for example, as 4218242704 + 196923825121 = 64948^2 + 443761^2 .

It is not a de Polignac number, because 201142067825 - 2¹² = 201142063729 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20415590 + ... + 20425439.

It is an arithmetic number, because the mean of its divisors is an integer number (20890186845).

Almost surely, 2^201142067825 is an apocalyptic number.

201142067825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

201142067825 is a deficient number, since it is larger than the sum of its proper divisors (49540174315).

201142067825 is a wasteful number, since it uses less digits than its factorization.

201142067825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40841236 (or 40841231 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 201142067825 in words is "two hundred one billion, one hundred forty-two million, sixty-seven thousand, eight hundred twenty-five".