2077677202225 has 9 divisors (see below), whose sum is σ = 2576328667563. Its totient is φ = 1662135996120.

The previous prime is 2077677202171. The next prime is 2077677202231. The reversal of 2077677202225 is 5222027767702.

The square root of 2077677202225 is 1441415.

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

It can be written as a sum of positive squares in only one way, i.e., 747963792801 + 1329713409424 = 864849^2 + 1153132^2 .

It is not a de Polignac number, because 2077677202225 - 2⁹ = 2077677201713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7062934 + ... + 7351216.

Almost surely, 2^{2077677202225} is an apocalyptic number.

2077677202225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2077677202225 is the 1441415-th square number.

2077677202225 is the 720708-th centered octagonal number.

It is an amenable number.

2077677202225 is a deficient number, since it is larger than the sum of its proper divisors (498651465338).

2077677202225 is an frugal number, since it uses more digits than its factorization.

2077677202225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576576 (or 288288 counting only the distinct ones).

The product of its (nonzero) digits is 2304960, while the sum is 49.

Multiplying 2077677202225 by its sum of digits (49), we get a square (101806182909025 = 10089905²).

The spelling of 2077677202225 in words is "two trillion, seventy-seven billion, six hundred seventy-seven million, two hundred two thousand, two hundred twenty-five".