495825814201 has 9 divisors (see below), whose sum is σ = 513533972653. Its totient is φ = 478708656160.

The previous prime is 495825814189. The next prime is 495825814213. The reversal of 495825814201 is 102418528594.

It is a happy number.

The square root of 495825814201 is 704149.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (495825814189) and next prime (495825814213).

It can be written as a sum of positive squares in 4 ways, for example, as 159959202601 + 335866611600 = 399949^2 + 579540^2 .

It is not a de Polignac number, because 495825814201 - 2²⁵ = 495792259769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (495825814901) 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 8 ways as a sum of consecutive naturals, for example, 20408181 + ... + 20432461.

Almost surely, 2^495825814201 is an apocalyptic number.

495825814201 is the 704149-th square number.

495825814201 is the 352075-th centered octagonal number.

It is an amenable number.

495825814201 is a deficient number, since it is larger than the sum of its proper divisors (17708158452).

495825814201 is an frugal number, since it uses more digits than its factorization.

495825814201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48620 (or 24310 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 49.

Multiplying 495825814201 by its sum of digits (49), we get a square (24295464895849 = 4929043²).

The spelling of 495825814201 in words is "four hundred ninety-five billion, eight hundred twenty-five million, eight hundred fourteen thousand, two hundred one".