738559766025 has 243 divisors, whose sum is σ = 1440068280469. Its totient is φ = 361798419840.

The previous prime is 738559765987. The next prime is 738559766039. The reversal of 738559766025 is 520667955837.

The square root of 738559766025 is 859395.

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

738559766025 is a `hidden beast` number, since 7 + 3 + 8 + 559 + 76 + 6 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5563518921 + 732996247104 = 74589^2 + 856152^2 .

It is not a de Polignac number, because 738559766025 - 2⁷ = 738559765897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 13935089899 + ... + 13935089951.

Almost surely, 2^738559766025 is an apocalyptic number.

738559766025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

738559766025 is the 859395-th square number.

738559766025 is the 429698-th centered octagonal number.

It is an amenable number.

738559766025 is a deficient number, since it is larger than the sum of its proper divisors (701508514444).

738559766025 is a wasteful number, since it uses less digits than its factorization.

738559766025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 738559766025 in words is "seven hundred thirty-eight billion, five hundred fifty-nine million, seven hundred sixty-six thousand, twenty-five".