542631123225 has 27 divisors (see below), whose sum is σ = 971932425373. Its totient is φ = 289397372640.

The previous prime is 542631123173. The next prime is 542631123233. The reversal of 542631123225 is 522321136245.

The square root of 542631123225 is 736635.

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

542631123225 is a `hidden beast` number, since 5 + 4 + 2 + 631 + 12 + 3 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 135137847321 + 407493275904 = 367611^2 + 638352^2 .

It is not a de Polignac number, because 542631123225 - 2¹¹ = 542631121177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 542631123225.

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, 11024971 + ... + 11074079.

Almost surely, 2^542631123225 is an apocalyptic number.

542631123225 is the 736635-th square number.

542631123225 is the 368318-th centered octagonal number.

It is an amenable number.

542631123225 is a deficient number, since it is larger than the sum of its proper divisors (429301302148).

542631123225 is an frugal number, since it uses more digits than its factorization.

542631123225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98234 (or 49117 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Multiplying 542631123225 by its sum of digits (36), we get a square (19534720436100 = 4419810²).

It can be divided in two parts, 542631 and 123225, that added together give a square (665856 = 816²).

The spelling of 542631123225 in words is "five hundred forty-two billion, six hundred thirty-one million, one hundred twenty-three thousand, two hundred twenty-five".