6551577756025 has 27 divisors (see below), whose sum is σ = 8630233377511. Its totient is φ = 4932788848640.

The previous prime is 6551577756007. The next prime is 6551577756029. The reversal of 6551577756025 is 5206577751556.

The square root of 6551577756025 is 2559605.

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

It can be written as a sum of positive squares in 13 ways, for example, as 82307593449 + 6469270162576 = 286893^2 + 2543476^2 .

It is not a de Polignac number, because 6551577756025 - 2⁷ = 6551577755897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6551577756029) 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 26 ways as a sum of consecutive naturals, for example, 217551369 + ... + 217581481.

Almost surely, 2^{6551577756025} is an apocalyptic number.

6551577756025 is the 2559605-th square number.

6551577756025 is the 1279803-rd centered octagonal number.

It is an amenable number.

6551577756025 is a deficient number, since it is larger than the sum of its proper divisors (2078655621486).

6551577756025 is an frugal number, since it uses more digits than its factorization.

6551577756025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60270 (or 30135 counting only the distinct ones).

The product of its (nonzero) digits is 77175000, while the sum is 61.

The spelling of 6551577756025 in words is "six trillion, five hundred fifty-one billion, five hundred seventy-seven million, seven hundred fifty-six thousand, twenty-five".