125200838523905 has 16 divisors (see below), whose sum is σ = 150872167613520. Its totient is φ = 99740670763008.

The previous prime is 125200838523899. The next prime is 125200838523961. The reversal of 125200838523905 is 509325838002521.

It can be written as a sum of positive squares in 8 ways, for example, as 311452170241 + 124889386353664 = 558079^2 + 11175392^2 .

It is a cyclic number.

It is not a de Polignac number, because 125200838523905 - 2⁴ = 125200838523889 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 47093240 + ... + 49680729.

It is an arithmetic number, because the mean of its divisors is an integer number (9429510475845).

Almost surely, 2^{125200838523905} is an apocalyptic number.

It is an amenable number.

125200838523905 is a deficient number, since it is larger than the sum of its proper divisors (25671329089615).

125200838523905 is an equidigital number, since it uses as much as digits as its factorization.

125200838523905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96775060.

The product of its (nonzero) digits is 5184000, while the sum is 53.

The spelling of 125200838523905 in words is "one hundred twenty-five trillion, two hundred billion, eight hundred thirty-eight million, five hundred twenty-three thousand, nine hundred five".