677261515681 has 9 divisors (see below), whose sum is σ = 682354707699. Its totient is φ = 672206078544.

The previous prime is 677261515631. The next prime is 677261515691. The reversal of 677261515681 is 186515162776.

The square root of 677261515681 is 822959.

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., 397826640225 + 279434875456 = 630735^2 + 528616^2 .

It is not a de Polignac number, because 677261515681 - 2²⁹ = 676724644769 is a prime.

It is a super-2 number, since 2×677261515681² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (677261515621) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 112742380 + ... + 112748386.

Almost surely, 2^677261515681 is an apocalyptic number.

677261515681 is the 822959-th square number.

677261515681 is the 411480-th centered octagonal number.

It is an amenable number.

677261515681 is a deficient number, since it is larger than the sum of its proper divisors (5093192018).

677261515681 is an frugal number, since it uses more digits than its factorization.

677261515681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12288 (or 6144 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 55.

The spelling of 677261515681 in words is "six hundred seventy-seven billion, two hundred sixty-one million, five hundred fifteen thousand, six hundred eighty-one".