125854360821289 has 3 divisors (see below), whose sum is σ = 125854372039773. Its totient is φ = 125854349602806.

The previous prime is 125854360821221. The next prime is 125854360821317. The reversal of 125854360821289 is 982128063458521.

The square root of 125854360821289 is 11218483.

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 125854360821289 - 2¹⁵ = 125854360788521 is a prime.

It is a super-2 number, since 2×125854360821289² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 125854360821289.

It is not an unprimeable number, because it can be changed into a prime (125854360821209) 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 in 2 ways as a sum of consecutive naturals, for example, 5609242 + ... + 16827724.

It is an arithmetic number, because the mean of its divisors is an integer number (41951457346591).

Almost surely, 2^{125854360821289} is an apocalyptic number.

125854360821289 is the 11218483-rd square number.

125854360821289 is the 5609242-nd centered octagonal number.

It is an amenable number.

125854360821289 is a deficient number, since it is larger than the sum of its proper divisors (11218484).

125854360821289 is an frugal number, since it uses more digits than its factorization.

125854360821289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22436966 (or 11218483 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 64.

The spelling of 125854360821289 in words is "one hundred twenty-five trillion, eight hundred fifty-four billion, three hundred sixty million, eight hundred twenty-one thousand, two hundred eighty-nine".