127088685025 has 81 divisors (see below), whose sum is σ = 169618269387. Its totient is φ = 94456915200.

The previous prime is 127088685007. The next prime is 127088685067. The reversal of 127088685025 is 520586880721.

The square root of 127088685025 is 356495.

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 94107219361 + 32981465664 = 306769^2 + 181608^2 .

It is a de Polignac number, because none of the positive numbers 2^k-127088685025 is a prime.

It is a super-2 number, since 2×127088685025² (a number of 23 digits) contains 22 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, 2704014552 + ... + 2704014598.

Almost surely, 2^127088685025 is an apocalyptic number.

127088685025 is the 356495-th square number.

127088685025 is the 178248-th centered octagonal number.

It is an amenable number.

127088685025 is a deficient number, since it is larger than the sum of its proper divisors (42529584362).

127088685025 is an frugal number, since it uses more digits than its factorization.

127088685025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 52.

The spelling of 127088685025 in words is "one hundred twenty-seven billion, eighty-eight million, six hundred eighty-five thousand, twenty-five".