125436961 has 4 divisors (see below), whose sum is σ = 135085972. Its totient is φ = 115787952.

The previous prime is 125436959. The next prime is 125436967. The reversal of 125436961 is 169634521.

125436961 = 7919² + 7920².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 62726400 + 62710561 = 7920^2 + 7919^2 .

It is a cyclic number.

It is not a de Polignac number, because 125436961 - 2¹ = 125436959 is a prime.

It is an alternating number because its digits alternate between odd and even.

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 125436961.

It is not an unprimeable number, because it can be changed into a prime (125436967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4824486 + ... + 4824511.

It is an arithmetic number, because the mean of its divisors is an integer number (33771493).

Almost surely, 2^125436961 is an apocalyptic number.

125436961 is the 7920-th centered square number.

It is an amenable number.

125436961 is a deficient number, since it is larger than the sum of its proper divisors (9649011).

125436961 is an equidigital number, since it uses as much as digits as its factorization.

125436961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9649010.

The product of its digits is 38880, while the sum is 37.

The square root of 125436961 is about 11199.8643295354. The cubic root of 125436961 is about 500.5819371023.

The spelling of 125436961 in words is "one hundred twenty-five million, four hundred thirty-six thousand, nine hundred sixty-one".