258069080025 has 189 divisors, whose sum is σ = 495996939277. Its totient is φ = 133137950400.

The previous prime is 258069080011. The next prime is 258069080033. The reversal of 258069080025 is 520080960852.

The square root of 258069080025 is 508005.

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

258069080025 is a `hidden beast` number, since 2 + 580 + 69 + 0 + 8 + 0 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1944016281 + 256125063744 = 44091^2 + 506088^2 .

It is not a de Polignac number, because 258069080025 - 2¹³ = 258069071833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 3634775740 + ... + 3634775810.

Almost surely, 2^258069080025 is an apocalyptic number.

258069080025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

258069080025 is the 508005-th square number.

258069080025 is the 254003-rd centered octagonal number.

It is an amenable number.

258069080025 is a deficient number, since it is larger than the sum of its proper divisors (237927859252).

258069080025 is an frugal number, since it uses more digits than its factorization.

258069080025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 258069080025 in words is "two hundred fifty-eight billion, sixty-nine million, eighty thousand, twenty-five".