125303419597801 has 3 divisors (see below), whose sum is σ = 125303430791703. Its totient is φ = 125303408403900.

The previous prime is 125303419597799. The next prime is 125303419597817. The reversal of 125303419597801 is 108795914303521.

The square root of 125303419597801 is 11193901.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 32973997805401 + 92329421792400 = 5742299^2 + 9608820^2 .

It is not a de Polignac number, because 125303419597801 - 2¹ = 125303419597799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125303419597201) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5596951 + ... + 16790851.

It is an arithmetic number, because the mean of its divisors is an integer number (41767810263901).

Almost surely, 2^{125303419597801} is an apocalyptic number.

125303419597801 is the 11193901-st square number.

125303419597801 is the 5596951-st centered octagonal number.

It is an amenable number.

125303419597801 is a deficient number, since it is larger than the sum of its proper divisors (11193902).

125303419597801 is an frugal number, since it uses more digits than its factorization.

125303419597801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22387802 (or 11193901 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 58.

The spelling of 125303419597801 in words is "one hundred twenty-five trillion, three hundred three billion, four hundred nineteen million, five hundred ninety-seven thousand, eight hundred one".