1055170656225 has 189 divisors, whose sum is σ = 2284102126467. Its totient is φ = 481919971680.

The previous prime is 1055170656217. The next prime is 1055170656251. The reversal of 1055170656225 is 5226560715501.

The square root of 1055170656225 is 1027215.

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

1055170656225 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 17 + 0 + 6 + 5 + 622 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 379861436241 + 675309219984 = 616329^2 + 821772^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 1055170656225 - 2³ = 1055170656217 is a prime.

It is a super-2 number, since 2×1055170656225² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

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 188 ways as a sum of consecutive naturals, for example, 970717632 + ... + 970718718.

Almost surely, 2^{1055170656225} is an apocalyptic number.

1055170656225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1055170656225 is the 1027215-th square number.

1055170656225 is the 513608-th centered octagonal number.

It is an amenable number.

1055170656225 is an abundant number, since it is smaller than the sum of its proper divisors (1228931470242).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1055170656225 is an frugal number, since it uses more digits than its factorization.

1055170656225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 1055170656225 in words is "one trillion, fifty-five billion, one hundred seventy million, six hundred fifty-six thousand, two hundred twenty-five".