177090487776225 has 135 divisors (see below), whose sum is σ = 332670076466409. Its totient is φ = 93131452944000.

The previous prime is 177090487776211. The next prime is 177090487776247. The reversal of 177090487776225 is 522677784090771.

The square root of 177090487776225 is 13307535.

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

177090487776225 is a `hidden beast` number, since 1 + 7 + 70 + 9 + 0 + 487 + 7 + 76 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 969029578449 + 176121458197776 = 984393^2 + 13271076^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a de Polignac number, because none of the positive numbers 2^k-177090487776225 is a prime.

It is a super-2 number, since 2×177090487776225² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 43715250450 + ... + 43715254500.

Almost surely, 2^{177090487776225} is an apocalyptic number.

177090487776225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

177090487776225 is the 13307535-th square number.

177090487776225 is the 6653768-th centered octagonal number.

It is an amenable number.

177090487776225 is a deficient number, since it is larger than the sum of its proper divisors (155579588690184).

177090487776225 is an frugal number, since it uses more digits than its factorization.

177090487776225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8270 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 580849920, while the sum is 72.

The spelling of 177090487776225 in words is "one hundred seventy-seven trillion, ninety billion, four hundred eighty-seven million, seven hundred seventy-six thousand, two hundred twenty-five".