207703505025 has 81 divisors (see below), whose sum is σ = 389192711817. Its totient is φ = 105878678400.

The previous prime is 207703504997. The next prime is 207703505081. The reversal of 207703505025 is 520505307702.

It is a happy number.

The square root of 207703505025 is 455745.

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

It can be written as a sum of positive squares in 4 ways, for example, as 26809805169 + 180893699856 = 163737^2 + 425316^2 .

It is not a de Polignac number, because 207703505025 - 2²³ = 207695116417 is a prime.

It is a super-4 number, since 4×207703505025⁴ (a number of 46 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 157231365 + ... + 157232685.

Almost surely, 2^207703505025 is an apocalyptic number.

207703505025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

207703505025 is the 455745-th square number.

207703505025 is the 227873-rd centered octagonal number.

It is an amenable number.

207703505025 is a deficient number, since it is larger than the sum of its proper divisors (181489206792).

207703505025 is an equidigital number, since it uses as much as digits as its factorization.

207703505025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

Multiplying 207703505025 by its sum of digits (36), we get a square (7477326180900 = 2734470²).

The spelling of 207703505025 in words is "two hundred seven billion, seven hundred three million, five hundred five thousand, twenty-five".