1137603562225 has 81 divisors (see below), whose sum is σ = 1558730913129. Its totient is φ = 823232966400.

The previous prime is 1137603562219. The next prime is 1137603562241. The reversal of 1137603562225 is 5222653067311.

It is a happy number.

The square root of 1137603562225 is 1066585.

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

It can be written as a sum of positive squares in 40 ways, for example, as 9555649009 + 1128047913216 = 97753^2 + 1062096^2 .

It is not a de Polignac number, because 1137603562225 - 2⁹ = 1137603561713 is a prime.

It is a super-4 number, since 4×1137603562225⁴ (a number of 49 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4229009391 + ... + 4229009659.

Almost surely, 2^{1137603562225} is an apocalyptic number.

1137603562225 is the 1066585-th square number.

1137603562225 is the 533293-rd centered octagonal number.

It is an amenable number.

1137603562225 is a deficient number, since it is larger than the sum of its proper divisors (421127350904).

1137603562225 is an frugal number, since it uses more digits than its factorization.

1137603562225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 1137603562225 in words is "one trillion, one hundred thirty-seven billion, six hundred three million, five hundred sixty-two thousand, two hundred twenty-five".