4719256588225 has 27 divisors (see below), whose sum is σ = 5998654164891. Its totient is φ = 3682974633600.

The previous prime is 4719256588201. The next prime is 4719256588247. The reversal of 4719256588225 is 5228856529174.

The square root of 4719256588225 is 2172385.

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 3524904865729 + 1194351722496 = 1877473^2 + 1092864^2 .

It is not a de Polignac number, because 4719256588225 - 2³⁹ = 4169500774337 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 445333627 + ... + 445344223.

Almost surely, 2^{4719256588225} is an apocalyptic number.

4719256588225 is the 2172385-th square number.

4719256588225 is the 1086193-rd centered octagonal number.

It is an amenable number.

4719256588225 is a deficient number, since it is larger than the sum of its proper divisors (1279397576666).

4719256588225 is an frugal number, since it uses more digits than its factorization.

4719256588225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21286 (or 10643 counting only the distinct ones).

The product of its digits is 96768000, while the sum is 64.

Multiplying 4719256588225 by its sum of digits (64), we get a square (302032421646400 = 17379080²).

The spelling of 4719256588225 in words is "four trillion, seven hundred nineteen billion, two hundred fifty-six million, five hundred eighty-eight thousand, two hundred twenty-five".