77127651595225 has 81 divisors (see below), whose sum is σ = 122291389264863. Its totient is φ = 48077467284000.

The previous prime is 77127651595223. The next prime is 77127651595261. The reversal of 77127651595225 is 52259515672177.

The square root of 77127651595225 is 8782235.

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., 27765954574281 + 49361697020944 = 5269341^2 + 7025788^2 .

It is not a de Polignac number, because 77127651595225 - 2¹ = 77127651595223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77127651595223) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 3381149070 + ... + 3381171880.

Almost surely, 2^{77127651595225} is an apocalyptic number.

77127651595225 is the 8782235-th square number.

77127651595225 is the 4391118-th centered octagonal number.

It is an amenable number.

77127651595225 is a deficient number, since it is larger than the sum of its proper divisors (45163737669638).

77127651595225 is an frugal number, since it uses more digits than its factorization.

77127651595225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45668 (or 22834 counting only the distinct ones).

The product of its digits is 92610000, while the sum is 64.

The spelling of 77127651595225 in words is "seventy-seven trillion, one hundred twenty-seven billion, six hundred fifty-one million, five hundred ninety-five thousand, two hundred twenty-five".