2256289389025 has 45 divisors (see below), whose sum is σ = 3264436886483. Its totient is φ = 1546917514800.

The previous prime is 2256289388993. The next prime is 2256289389061. The reversal of 2256289389025 is 5209839826522.

The square root of 2256289389025 is 1502095.

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

2256289389025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 812264180049 + 1444025208976 = 901257^2 + 1201676^2 .

It is not a de Polignac number, because 2256289389025 - 2⁵ = 2256289388993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 368010210 + ... + 368016340.

Almost surely, 2^{2256289389025} is an apocalyptic number.

2256289389025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2256289389025 is the 1502095-th square number.

2256289389025 is the 751048-th centered octagonal number.

It is an amenable number.

2256289389025 is a deficient number, since it is larger than the sum of its proper divisors (1008147497458).

2256289389025 is an frugal number, since it uses more digits than its factorization.

2256289389025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12300 (or 6143 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 61.

The spelling of 2256289389025 in words is "two trillion, two hundred fifty-six billion, two hundred eighty-nine million, three hundred eighty-nine thousand, twenty-five".