2077936665025 has 81 divisors (see below), whose sum is σ = 2840938560873. Its totient is φ = 1507006987200.

The previous prime is 2077936665019. The next prime is 2077936665029. The reversal of 2077936665025 is 5205666397702.

The square root of 2077936665025 is 1441505.

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 535591249281 + 1542345415744 = 731841^2 + 1241912^2 .

It is not a de Polignac number, because 2077936665025 - 2⁷ = 2077936664897 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2077936665029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6277754110 + ... + 6277754440.

Almost surely, 2^{2077936665025} is an apocalyptic number.

2077936665025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2077936665025 is the 1441505-th square number.

2077936665025 is the 720753-rd centered octagonal number.

It is an amenable number.

2077936665025 is a deficient number, since it is larger than the sum of its proper divisors (763001895848).

2077936665025 is an frugal number, since it uses more digits than its factorization.

2077936665025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 58.

The spelling of 2077936665025 in words is "two trillion, seventy-seven billion, nine hundred thirty-six million, six hundred sixty-five thousand, twenty-five".