677156181025 has 27 divisors (see below), whose sum is σ = 867797119353. Its totient is φ = 524151199200.

The previous prime is 677156181017. The next prime is 677156181077. The reversal of 677156181025 is 520181651776.

It is a happy number.

The square root of 677156181025 is 822895.

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 394965742369 + 282190438656 = 628463^2 + 531216^2 .

It is not a de Polignac number, because 677156181025 - 2³ = 677156181017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 677156181025.

It is an unprimeable number.

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, 127546071 + ... + 127551379.

Almost surely, 2^677156181025 is an apocalyptic number.

677156181025 is the 822895-th square number.

677156181025 is the 411448-th centered octagonal number.

It is an amenable number.

677156181025 is a deficient number, since it is larger than the sum of its proper divisors (190640938328).

677156181025 is an frugal number, since it uses more digits than its factorization.

677156181025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10690 (or 5345 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 49.

Multiplying 677156181025 by its sum of digits (49), we get a square (33180652870225 = 5760265²).

It can be divided in two parts, 6771561 and 81025, that added together give a palindrome (6852586).

The spelling of 677156181025 in words is "six hundred seventy-seven billion, one hundred fifty-six million, one hundred eighty-one thousand, twenty-five".