125213361025 has 81 divisors (see below), whose sum is σ = 173375747643. Its totient is φ = 89681011200.

The previous prime is 125213361017. The next prime is 125213361029. The reversal of 125213361025 is 520163312521.

The square root of 125213361025 is 353855.

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

It can be written as a sum of positive squares in 13 ways, for example, as 117018042241 + 8195318784 = 342079^2 + 90528^2 .

It is not a de Polignac number, because 125213361025 - 2³ = 125213361017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125213361029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 691786435 + ... + 691786615.

Almost surely, 2^125213361025 is an apocalyptic number.

125213361025 is the 353855-th square number.

125213361025 is the 176928-th centered octagonal number.

It is an amenable number.

125213361025 is a deficient number, since it is larger than the sum of its proper divisors (48162386618).

125213361025 is an equidigital number, since it uses as much as digits as its factorization.

125213361025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 125213361025 its reverse (520163312521), we get a palindrome (645376673546).

The spelling of 125213361025 in words is "one hundred twenty-five billion, two hundred thirteen million, three hundred sixty-one thousand, twenty-five".