6477559461025 has 27 divisors (see below), whose sum is σ = 8088118531059. Its totient is φ = 5146202310000.

The previous prime is 6477559461017. The next prime is 6477559461029. The reversal of 6477559461025 is 5201649557746.

The square root of 6477559461025 is 2545105.

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., 2331921405969 + 4145638055056 = 1527063^2 + 2036084^2 .

It is not a de Polignac number, because 6477559461025 - 2³ = 6477559461017 is a prime.

It is a super-2 number, since 2×6477559461025² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6477559461029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1921552590 + ... + 1921555960.

Almost surely, 2^{6477559461025} is an apocalyptic number.

6477559461025 is the 2545105-th square number.

6477559461025 is the 1272553-rd centered octagonal number.

It is an amenable number.

6477559461025 is a deficient number, since it is larger than the sum of its proper divisors (1610559070034).

6477559461025 is an frugal number, since it uses more digits than its factorization.

6477559461025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7054 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 61.

The spelling of 6477559461025 in words is "six trillion, four hundred seventy-seven billion, five hundred fifty-nine million, four hundred sixty-one thousand, twenty-five".