127768094937025 has 9 divisors (see below), whose sum is σ = 158432507803363. Its totient is φ = 102214430735800.

The previous prime is 127768094936959. The next prime is 127768094937061. The reversal of 127768094937025 is 520739490867721.

The square root of 127768094937025 is 11303455.

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

It can be written as a sum of positive squares in only one way, i.e., 45996514177329 + 81771580759696 = 6782073^2 + 9042764^2 .

It is not a de Polignac number, because 127768094937025 - 2⁹ = 127768094936513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55386930 + ... + 57647620.

It is a 2-persistent number, because it is pandigital, and so is 2⋅127768094937025 = 255536189874050, but 3⋅127768094937025 = 383304284811075 is not.

Almost surely, 2^{127768094937025} is an apocalyptic number.

127768094937025 is the 11303455-th square number.

127768094937025 is the 5651728-th centered octagonal number.

It is an amenable number.

127768094937025 is a deficient number, since it is larger than the sum of its proper divisors (30664412866338).

127768094937025 is an frugal number, since it uses more digits than its factorization.

127768094937025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4521392 (or 2260696 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 70.

The spelling of 127768094937025 in words is "one hundred twenty-seven trillion, seven hundred sixty-eight billion, ninety-four million, nine hundred thirty-seven thousand, twenty-five".