125206007577321 has 48 divisors (see below), whose sum is σ = 190247790096000. Its totient is φ = 73102615111680.

The previous prime is 125206007577293. The next prime is 125206007577377. The reversal of 125206007577321 is 123775700602521.

It is not a de Polignac number, because 125206007577321 - 2⁶ = 125206007577257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125206007575321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8518141 + ... + 17971386.

It is an arithmetic number, because the mean of its divisors is an integer number (3963495627000).

Almost surely, 2^{125206007577321} is an apocalyptic number.

125206007577321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125206007577321 is a deficient number, since it is larger than the sum of its proper divisors (65041782518679).

125206007577321 is a wasteful number, since it uses less digits than its factorization.

125206007577321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26490030 (or 26490019 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 48.

The spelling of 125206007577321 in words is "one hundred twenty-five trillion, two hundred six billion, seven million, five hundred seventy-seven thousand, three hundred twenty-one".