265219850025 has 243 divisors, whose sum is σ = 546822359109. Its totient is φ = 122807767680.

The previous prime is 265219850011. The next prime is 265219850029. The reversal of 265219850025 is 520058912562.

The square root of 265219850025 is 514995.

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

265219850025 is a `hidden beast` number, since 2 + 6 + 52 + 1 + 98 + 500 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68360808681 + 196859041344 = 261459^2 + 443688^2 .

It is not a de Polignac number, because 265219850025 - 2¹⁹ = 265219325737 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (265219850029) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1908056406 + ... + 1908056544.

Almost surely, 2^265219850025 is an apocalyptic number.

265219850025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

265219850025 is the 514995-th square number.

265219850025 is the 257498-th centered octagonal number.

It is an amenable number.

265219850025 is an abundant number, since it is smaller than the sum of its proper divisors (281602509084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

265219850025 is a wasteful number, since it uses less digits than its factorization.

265219850025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 265219850025 in words is "two hundred sixty-five billion, two hundred nineteen million, eight hundred fifty thousand, twenty-five".