125305624405 has 48 divisors (see below), whose sum is σ = 166590975600. Its totient is φ = 89941413888.

The previous prime is 125305624393. The next prime is 125305624439. The reversal of 125305624405 is 504426503521.

It can be written as a sum of positive squares in 8 ways, for example, as 5417254404 + 119888370001 = 73602^2 + 346249^2 .

It is not a de Polignac number, because 125305624405 - 2⁹ = 125305623893 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21391237 + ... + 21397093.

It is an arithmetic number, because the mean of its divisors is an integer number (3470645325).

Almost surely, 2^125305624405 is an apocalyptic number.

It is an amenable number.

125305624405 is a deficient number, since it is larger than the sum of its proper divisors (41285351195).

125305624405 is a wasteful number, since it uses less digits than its factorization.

125305624405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6118 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 125305624405 in words is "one hundred twenty-five billion, three hundred five million, six hundred twenty-four thousand, four hundred five".