127761045625 has 40 divisors (see below), whose sum is σ = 169673593320. Its totient is φ = 95836800000.

The previous prime is 127761045623. The next prime is 127761045667. The reversal of 127761045625 is 526540167721.

It can be written as a sum of positive squares in 20 ways, for example, as 108776614969 + 18984430656 = 329813^2 + 137784^2 .

It is not a de Polignac number, because 127761045625 - 2¹ = 127761045623 is a prime.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (127761045623) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2835775 + ... + 2880475.

It is an arithmetic number, because the mean of its divisors is an integer number (4241839833).

Almost surely, 2^127761045625 is an apocalyptic number.

It is an amenable number.

127761045625 is a deficient number, since it is larger than the sum of its proper divisors (41912547695).

127761045625 is an equidigital number, since it uses as much as digits as its factorization.

127761045625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45007 (or 44992 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 127761045625 in words is "one hundred twenty-seven billion, seven hundred sixty-one million, forty-five thousand, six hundred twenty-five".