255820671416025 has 189 divisors, whose sum is σ = 478504663691623. Its totient is φ = 135611996774400.

The previous prime is 255820671415999. The next prime is 255820671416027. The reversal of 255820671416025 is 520614176028552.

The square root of 255820671416025 is 15994395.

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

255820671416025 is a `hidden beast` number, since 2 + 5 + 5 + 8 + 20 + 6 + 7 + 1 + 4 + 1 + 602 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 48458597810841 + 207362073605184 = 6961221^2 + 14400072^2 .

It is not a de Polignac number, because 255820671416025 - 2¹¹ = 255820671413977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (255820671416027) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 554925534295 + ... + 554925534755.

Almost surely, 2^{255820671416025} is an apocalyptic number.

255820671416025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

255820671416025 is the 15994395-th square number.

255820671416025 is the 7997198-th centered octagonal number.

It is an amenable number.

255820671416025 is a deficient number, since it is larger than the sum of its proper divisors (222683992275598).

255820671416025 is an frugal number, since it uses more digits than its factorization.

255820671416025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 255820671416025 in words is "two hundred fifty-five trillion, eight hundred twenty billion, six hundred seventy-one million, four hundred sixteen thousand, twenty-five".