125920049 has 12 divisors (see below), whose sum is σ = 133845300. Its totient is φ = 118441440.

The previous prime is 125920031. The next prime is 125920099. The reversal of 125920049 is 940029521.

It can be written as a sum of positive squares in 2 ways, for example, as 45495025 + 80425024 = 6745^2 + 8968^2 .

It is not a de Polignac number, because 125920049 - 2¹² = 125915953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 125919997 and 125920024.

It is not an unprimeable number, because it can be changed into a prime (125920099) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52619 + ... + 54959.

It is an arithmetic number, because the mean of its divisors is an integer number (11153775).

Almost surely, 2^125920049 is an apocalyptic number.

125920049 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

125920049 is a deficient number, since it is larger than the sum of its proper divisors (7925251).

125920049 is a wasteful number, since it uses less digits than its factorization.

125920049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 125920049 is about 11221.4102946109. The cubic root of 125920049 is about 501.2237345043.

The spelling of 125920049 in words is "one hundred twenty-five million, nine hundred twenty thousand, forty-nine".