497872771201 has 9 divisors (see below), whose sum is σ = 539126602281. Its totient is φ = 459566398512.

The previous prime is 497872771147. The next prime is 497872771211. The reversal of 497872771201 is 102177278794.

It is a happy number.

The square root of 497872771201 is 705601.

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

It can be written as a sum of positive squares in 4 ways, for example, as 245667931201 + 252204840000 = 495649^2 + 502200^2 .

It is not a de Polignac number, because 497872771201 - 2¹⁷ = 497872640129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (497872771211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9145675 + ... + 9199951.

It is an arithmetic number, because the mean of its divisors is an integer number (59902955809).

Almost surely, 2^497872771201 is an apocalyptic number.

497872771201 is the 705601-st square number.

497872771201 is the 352801-st centered octagonal number.

It is an amenable number.

497872771201 is a deficient number, since it is larger than the sum of its proper divisors (41253831080).

497872771201 is an frugal number, since it uses more digits than its factorization.

497872771201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108580 (or 54290 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 55.

The spelling of 497872771201 in words is "four hundred ninety-seven billion, eight hundred seventy-two million, seven hundred seventy-one thousand, two hundred one".