773009867333025 has 81 divisors (see below), whose sum is σ = 1610601063263283. Its totient is φ = 353374604805600.

The previous prime is 773009867333017. The next prime is 773009867333047. The reversal of 773009867333025 is 520333768900377.

The square root of 773009867333025 is 27803055.

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

773009867333025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 278283552239889 + 494726315093136 = 16681833^2 + 22242444^2 .

It is not a de Polignac number, because 773009867333025 - 2³ = 773009867333017 is a prime.

It is a super-2 number, since 2×773009867333025² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2919188380 + ... + 2919453170.

Almost surely, 2^{773009867333025} is an apocalyptic number.

773009867333025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

773009867333025 is the 27803055-th square number.

773009867333025 is the 13901528-th centered octagonal number.

It is an amenable number.

773009867333025 is an abundant number, since it is smaller than the sum of its proper divisors (837591195930258).

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

773009867333025 is an frugal number, since it uses more digits than its factorization.

773009867333025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529612 (or 264806 counting only the distinct ones).

The product of its (nonzero) digits is 120022560, while the sum is 63.

The spelling of 773009867333025 in words is "seven hundred seventy-three trillion, nine billion, eight hundred sixty-seven million, three hundred thirty-three thousand, twenty-five".