125826987841 has 9 divisors (see below), whose sum is σ = 126460490121. Its totient is φ = 125196648624.

The previous prime is 125826987833. The next prime is 125826987899. The reversal of 125826987841 is 148789628521.

It is a happy number.

The square root of 125826987841 is 354721.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15257437441 + 110569550400 = 123521^2 + 332520^2 .

It is not a de Polignac number, because 125826987841 - 2³ = 125826987833 is a prime.

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 125826987841.

It is not an unprimeable number, because it can be changed into a prime (125826987941) 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 8 ways as a sum of consecutive naturals, for example, 81230335 + ... + 81231883.

It is an arithmetic number, because the mean of its divisors is an integer number (14051165569).

Almost surely, 2^125826987841 is an apocalyptic number.

125826987841 is the 354721-st square number.

125826987841 is the 177361-st centered octagonal number.

It is an amenable number.

125826987841 is a deficient number, since it is larger than the sum of its proper divisors (633502280).

125826987841 is an frugal number, since it uses more digits than its factorization.

125826987841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 1778 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 61.

The spelling of 125826987841 in words is "one hundred twenty-five billion, eight hundred twenty-six million, nine hundred eighty-seven thousand, eight hundred forty-one".