1067636560225 has 27 divisors (see below), whose sum is σ = 1331893273867. Its totient is φ = 848963588480.

The previous prime is 1067636560201. The next prime is 1067636560283. The reversal of 1067636560225 is 5220656367601.

The square root of 1067636560225 is 1033265.

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

It can be written as a sum of positive squares in 13 ways, for example, as 38434426209 + 1029202134016 = 196047^2 + 1014496^2 .

It is not a de Polignac number, because 1067636560225 - 2¹³ = 1067636552033 is a prime.

It is a super-2 number, since 2×1067636560225² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1017765501 + ... + 1017766549.

Almost surely, 2^{1067636560225} is an apocalyptic number.

1067636560225 is the 1033265-th square number.

1067636560225 is the 516633-rd centered octagonal number.

It is an amenable number.

1067636560225 is a deficient number, since it is larger than the sum of its proper divisors (264256713642).

1067636560225 is an frugal number, since it uses more digits than its factorization.

1067636560225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

Multiplying 1067636560225 by its sum of digits (49), we get a square (52314191451025 = 7232855²).

The spelling of 1067636560225 in words is "one trillion, sixty-seven billion, six hundred thirty-six million, five hundred sixty thousand, two hundred twenty-five".