125353526809 has 27 divisors (see below), whose sum is σ = 149976701343. Its totient is φ = 104465461968.

The previous prime is 125353526791. The next prime is 125353526821. The reversal of 125353526809 is 908625353521.

The square root of 125353526809 is 354053.

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

It can be written as a sum of positive squares in only one way, i.e., 112168057225 + 13185469584 = 334915^2 + 114828^2 .

It is not a de Polignac number, because 125353526809 - 2¹⁵ = 125353494041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (125353526869) 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 26 ways as a sum of consecutive naturals, for example, 91699044 + ... + 91700410.

Almost surely, 2^125353526809 is an apocalyptic number.

125353526809 is the 354053-rd square number.

125353526809 is the 177027-th centered octagonal number.

It is an amenable number.

125353526809 is a deficient number, since it is larger than the sum of its proper divisors (24623174534).

125353526809 is an frugal number, since it uses more digits than its factorization.

125353526809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 49.

Multiplying 125353526809 by its sum of digits (49), we get a square (6142322813641 = 2478371²).

125353526809 divided by its sum of digits (49) gives a square (2558235241 = 50579²).

The spelling of 125353526809 in words is "one hundred twenty-five billion, three hundred fifty-three million, five hundred twenty-six thousand, eight hundred nine".