209265077025 has 27 divisors (see below), whose sum is σ = 374829295321. Its totient is φ = 111604381440.

The previous prime is 209265077017. The next prime is 209265077033. The reversal of 209265077025 is 520770562902.

The square root of 209265077025 is 457455.

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

It is an interprime number because it is at equal distance from previous prime (209265077017) and next prime (209265077033).

It can be written as a sum of positive squares in 4 ways, for example, as 3740667921 + 205524409104 = 61161^2 + 453348^2 .

It is not a de Polignac number, because 209265077025 - 2³ = 209265077017 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 26 ways as a sum of consecutive naturals, for example, 6846577 + ... + 6877073.

Almost surely, 2^209265077025 is an apocalyptic number.

209265077025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

209265077025 is the 457455-th square number.

209265077025 is the 228728-th centered octagonal number.

It is an amenable number.

209265077025 is a deficient number, since it is larger than the sum of its proper divisors (165564218296).

209265077025 is an frugal number, since it uses more digits than its factorization.

209265077025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61010 (or 30505 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 209265077025 in words is "two hundred nine billion, two hundred sixty-five million, seventy-seven thousand, twenty-five".