487025268685201 has 3 divisors (see below), whose sum is σ = 487025290753851. Its totient is φ = 487025246616552.

The previous prime is 487025268685199. The next prime is 487025268685217. The reversal of 487025268685201 is 102586862520784.

It is a happy number.

The square root of 487025268685201 is 22068649.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 145882891083601 + 341142377601600 = 12078199^2 + 18470040^2 .

It is not a de Polignac number, because 487025268685201 - 2¹ = 487025268685199 is a prime.

It is a super-3 number, since 3×487025268685201³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (487025268685271) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 11034325 + ... + 33102973.

It is an arithmetic number, because the mean of its divisors is an integer number (162341763584617).

Almost surely, 2^{487025268685201} is an apocalyptic number.

487025268685201 is the 22068649-th square number.

487025268685201 is the 11034325-th centered octagonal number.

It is an amenable number.

487025268685201 is a deficient number, since it is larger than the sum of its proper divisors (22068650).

487025268685201 is an frugal number, since it uses more digits than its factorization.

487025268685201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44137298 (or 22068649 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 64.

The spelling of 487025268685201 in words is "four hundred eighty-seven trillion, twenty-five billion, two hundred sixty-eight million, six hundred eighty-five thousand, two hundred one".