125216461 has 8 divisors (see below), whose sum is σ = 129691800. Its totient is φ = 120751680.

The previous prime is 125216453. The next prime is 125216477. The reversal of 125216461 is 164612521.

It can be written as a sum of positive squares in 4 ways, for example, as 65448100 + 59768361 = 8090^2 + 7731^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 125216461 - 2³ = 125216453 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125216411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27495 + ... + 31723.

It is an arithmetic number, because the mean of its divisors is an integer number (16211475).

Almost surely, 2^125216461 is an apocalyptic number.

It is an amenable number.

125216461 is a deficient number, since it is larger than the sum of its proper divisors (4475339).

125216461 is a wasteful number, since it uses less digits than its factorization.

125216461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5279.

The product of its digits is 2880, while the sum is 28.

The square root of 125216461 is about 11190.0161304620. The cubic root of 125216461 is about 500.2884482299.

Adding to 125216461 its reverse (164612521), we get a palindrome (289828982).

The spelling of 125216461 in words is "one hundred twenty-five million, two hundred sixteen thousand, four hundred sixty-one".