126516941600625 has 75 divisors (see below), whose sum is σ = 236172181048573. Its totient is φ = 67474352430000.

The previous prime is 126516941600611. The next prime is 126516941600653. The reversal of 126516941600625 is 526006149615621.

It is a happy number.

The square root of 126516941600625 is 11247975.

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

126516941600625 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 1 + 6 + 9 + 4 + 1 + 6 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9918928221489 + 116598013379136 = 3149433^2 + 10798056^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 126516941600625 - 2³³ = 126508351666033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 74 ways as a sum of consecutive naturals, for example, 2530769380 + ... + 2530819370.

Almost surely, 2^{126516941600625} is an apocalyptic number.

126516941600625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

126516941600625 is the 11247975-th square number.

126516941600625 is the 5623988-th centered octagonal number.

It is an amenable number.

126516941600625 is a deficient number, since it is larger than the sum of its proper divisors (109655239447948).

126516941600625 is an frugal number, since it uses more digits than its factorization.

126516941600625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100014 (or 49999 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 126516941600625 in words is "one hundred twenty-six trillion, five hundred sixteen billion, nine hundred forty-one million, six hundred thousand, six hundred twenty-five".