125337948961 has 3 divisors (see below), whose sum is σ = 125338302993. Its totient is φ = 125337594930.

The previous prime is 125337948893. The next prime is 125337948979. The reversal of 125337948961 is 169849733521.

It is a happy number.

The square root of 125337948961 is 354031.

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 is not a de Polignac number, because 125337948961 - 2¹⁹ = 125337424673 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 125337948896 and 125337948905.

It is not an unprimeable number, because it can be changed into a prime (125337958961) 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 in 2 ways as a sum of consecutive naturals, for example, 177016 + ... + 531046.

It is an arithmetic number, because the mean of its divisors is an integer number (41779434331).

Almost surely, 2^125337948961 is an apocalyptic number.

125337948961 is the 354031-st square number.

125337948961 is the 177016-th centered octagonal number.

It is an amenable number.

125337948961 is a deficient number, since it is larger than the sum of its proper divisors (354032).

125337948961 is an frugal number, since it uses more digits than its factorization.

125337948961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708062 (or 354031 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 58.

The spelling of 125337948961 in words is "one hundred twenty-five billion, three hundred thirty-seven million, nine hundred forty-eight thousand, nine hundred sixty-one".