492502186225 has 27 divisors (see below), whose sum is σ = 710444707851. Its totient is φ = 337698942000.

The previous prime is 492502186219. The next prime is 492502186237. The reversal of 492502186225 is 522681205294.

The square root of 492502186225 is 701785.

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

It can be written as a sum of positive squares in only one way, i.e., 177300787041 + 315201399184 = 421071^2 + 561428^2 .

It is not a de Polignac number, because 492502186225 - 2¹⁵ = 492502153457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24552450 + ... + 24572500.

Almost surely, 2^492502186225 is an apocalyptic number.

492502186225 is the 701785-th square number.

492502186225 is the 350893-rd centered octagonal number.

It is an amenable number.

492502186225 is a deficient number, since it is larger than the sum of its proper divisors (217942521626).

492502186225 is an frugal number, since it uses more digits than its factorization.

492502186225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40126 (or 20063 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 492502186225 in words is "four hundred ninety-two billion, five hundred two million, one hundred eighty-six thousand, two hundred twenty-five".