123525000211009 has 2 divisors, whose sum is σ = 123525000211010. Its totient is φ = 123525000211008.

The previous prime is 123525000210977. The next prime is 123525000211043. The reversal of 123525000211009 is 900112000525321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87401931210000 + 36123069001009 = 9348900^2 + 6010247^2 .

It is a cyclic number.

It is not a de Polignac number, because 123525000211009 - 2⁵ = 123525000210977 is a prime.

It is not a weakly prime, because it can be changed into another prime (123525000211049) by changing a digit.

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 as a sum of consecutive naturals, namely, 61762500105504 + 61762500105505.

It is an arithmetic number, because the mean of its divisors is an integer number (61762500105505).

Almost surely, 2^{123525000211009} is an apocalyptic number.

It is an amenable number.

123525000211009 is a deficient number, since it is larger than the sum of its proper divisors (1).

123525000211009 is an equidigital number, since it uses as much as digits as its factorization.

123525000211009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 123525000211009 in words is "one hundred twenty-three trillion, five hundred twenty-five billion, two hundred eleven thousand, nine".