126761666525 has 48 divisors (see below), whose sum is σ = 170051563920. Its totient is φ = 93180672000.

The previous prime is 126761666477. The next prime is 126761666533. The reversal of 126761666525 is 525666167621.

It can be written as a sum of positive squares in 24 ways, for example, as 81835472761 + 44926193764 = 286069^2 + 211958^2 .

It is not a de Polignac number, because 126761666525 - 2¹² = 126761662429 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97433375 + ... + 97434675.

It is an arithmetic number, because the mean of its divisors is an integer number (3542740915).

Almost surely, 2^126761666525 is an apocalyptic number.

It is an amenable number.

126761666525 is a deficient number, since it is larger than the sum of its proper divisors (43289897395).

126761666525 is a wasteful number, since it uses less digits than its factorization.

126761666525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2461 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 53.

The spelling of 126761666525 in words is "one hundred twenty-six billion, seven hundred sixty-one million, six hundred sixty-six thousand, five hundred twenty-five".