225125576676 has 729 divisors, whose sum is σ = 798003450153. Its totient is φ = 53292919680.

The previous prime is 225125576653. The next prime is 225125576681. The reversal of 225125576676 is 676675521522.

The square root of 225125576676 is 474474.

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

225125576676 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 2 + 5 + 576 + 67 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33302600100 + 191822976576 = 182490^2 + 437976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2849690805 + ... + 2849690883.

Almost surely, 2^225125576676 is an apocalyptic number.

225125576676 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

225125576676 is the 474474-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225125576676

225125576676 is an abundant number, since it is smaller than the sum of its proper divisors (572877873477).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225125576676 is a wasteful number, since it uses less digits than its factorization.

225125576676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 115 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 54.

The spelling of 225125576676 in words is "two hundred twenty-five billion, one hundred twenty-five million, five hundred seventy-six thousand, six hundred seventy-six".