1077309064225 has 27 divisors (see below), whose sum is σ = 1419182015961. Its totient is φ = 811083926400.

The previous prime is 1077309064193. The next prime is 1077309064283. The reversal of 1077309064225 is 5224609037701.

The square root of 1077309064225 is 1037935.

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 25199340049 + 1052109724176 = 158743^2 + 1025724^2 .

It is not a de Polignac number, because 1077309064225 - 2⁵ = 1077309064193 is a prime.

It is a super-2 number, since 2×1077309064225² (a number of 25 digits) contains 22 as substring.

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, 88218370 + ... + 88230580.

Almost surely, 2^{1077309064225} is an apocalyptic number.

1077309064225 is the 1037935-th square number.

1077309064225 is the 518968-th centered octagonal number.

It is an amenable number.

1077309064225 is a deficient number, since it is larger than the sum of its proper divisors (341872951736).

1077309064225 is an frugal number, since it uses more digits than its factorization.

1077309064225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24466 (or 12233 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 1077309064225 in words is "one trillion, seventy-seven billion, three hundred nine million, sixty-four thousand, two hundred twenty-five".