125537795053225 has 27 divisors (see below), whose sum is σ = 156181571498127. Its totient is φ = 100099259100480.

The previous prime is 125537795053213. The next prime is 125537795053249. The reversal of 125537795053225 is 522350597735521.

The square root of 125537795053225 is 11204365.

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 125150468062489 + 387326990736 = 11187067^2 + 622356^2 .

It is a de Polignac number, because none of the positive numbers 2^k-125537795053225 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 (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17758914991 + ... + 17758922059.

Almost surely, 2^{125537795053225} is an apocalyptic number.

125537795053225 is the 11204365-th square number.

125537795053225 is the 5602183-rd centered octagonal number.

It is an amenable number.

125537795053225 is a deficient number, since it is larger than the sum of its proper divisors (30643776444902).

125537795053225 is an frugal number, since it uses more digits than its factorization.

125537795053225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14782 (or 7391 counting only the distinct ones).

The product of its (nonzero) digits is 99225000, while the sum is 61.

The spelling of 125537795053225 in words is "one hundred twenty-five trillion, five hundred thirty-seven billion, seven hundred ninety-five million, fifty-three thousand, two hundred twenty-five".