1977440626225 has 9 divisors (see below), whose sum is σ = 2452035095083. Its totient is φ = 1581946876120.

The previous prime is 1977440626193. The next prime is 1977440626241. The reversal of 1977440626225 is 5226260447791.

The square root of 1977440626225 is 1406215.

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., 711878625441 + 1265562000784 = 843729^2 + 1124972^2 .

It is not a de Polignac number, because 1977440626225 - 2⁵ = 1977440626193 is a prime.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 6890454 + ... + 7171696.

Almost surely, 2^{1977440626225} is an apocalyptic number.

1977440626225 is the 1406215-th square number.

1977440626225 is the 703108-th centered octagonal number.

It is an amenable number.

1977440626225 is a deficient number, since it is larger than the sum of its proper divisors (474594468858).

1977440626225 is an frugal number, since it uses more digits than its factorization.

1977440626225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562496 (or 281248 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 55.

The spelling of 1977440626225 in words is "one trillion, nine hundred seventy-seven billion, four hundred forty million, six hundred twenty-six thousand, two hundred twenty-five".