127526315490025 has 27 divisors (see below), whose sum is σ = 158573478686341. Its totient is φ = 101737423557440.

The previous prime is 127526315490019. The next prime is 127526315490071. The reversal of 127526315490025 is 520094513625721.

It is a happy number.

The square root of 127526315490025 is 11292755.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15492812360281 + 112033503129744 = 3936091^2 + 10584588^2 .

It is not a de Polignac number, because 127526315490025 - 2⁴⁵ = 92341943401193 is a prime.

It is a super-2 number, since 2×127526315490025² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21625622877 + ... + 21625628773.

Almost surely, 2^{127526315490025} is an apocalyptic number.

127526315490025 is the 11292755-th square number.

127526315490025 is the 5646378-th centered octagonal number.

It is an amenable number.

127526315490025 is a deficient number, since it is larger than the sum of its proper divisors (31047163196316).

127526315490025 is an frugal number, since it uses more digits than its factorization.

127526315490025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12570 (or 6285 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 52.

The spelling of 127526315490025 in words is "one hundred twenty-seven trillion, five hundred twenty-six billion, three hundred fifteen million, four hundred ninety thousand, twenty-five".