125164621033799 has 2 divisors, whose sum is σ = 125164621033800. Its totient is φ = 125164621033798.

The previous prime is 125164621033703. The next prime is 125164621033807. The reversal of 125164621033799 is 997330126461521.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-125164621033799 is a prime.

It is a super-3 number, since 3×125164621033799³ (a number of 43 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125164621035799) by changing a digit.

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 as a sum of consecutive naturals, namely, 62582310516899 + 62582310516900.

It is an arithmetic number, because the mean of its divisors is an integer number (62582310516900).

Almost surely, 2^{125164621033799} is an apocalyptic number.

125164621033799 is a deficient number, since it is larger than the sum of its proper divisors (1).

125164621033799 is an equidigital number, since it uses as much as digits as its factorization.

125164621033799 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14696640, while the sum is 59.

The spelling of 125164621033799 in words is "one hundred twenty-five trillion, one hundred sixty-four billion, six hundred twenty-one million, thirty-three thousand, seven hundred ninety-nine".