4954564033225 has 27 divisors (see below), whose sum is σ = 6166612077471. Its totient is φ = 3948898060800.

The previous prime is 4954564033157. The next prime is 4954564033247. The reversal of 4954564033225 is 5223304654594.

The square root of 4954564033225 is 2225885.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1849483041849 + 3105080991376 = 1359957^2 + 1762124^2 .

It is not a de Polignac number, because 4954564033225 - 2²³ = 4954555644617 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 (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3750615565 + ... + 3750616885.

Almost surely, 2^{4954564033225} is an apocalyptic number.

4954564033225 is the 2225885-th square number.

4954564033225 is the 1112943-rd centered octagonal number.

It is an amenable number.

4954564033225 is a deficient number, since it is larger than the sum of its proper divisors (1212048044246).

4954564033225 is an frugal number, since it uses more digits than its factorization.

4954564033225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 52.

The spelling of 4954564033225 in words is "four trillion, nine hundred fifty-four billion, five hundred sixty-four million, thirty-three thousand, two hundred twenty-five".