125020521 has 24 divisors (see below), whose sum is σ = 190010184. Its totient is φ = 79107840.

The previous prime is 125020507. The next prime is 125020541.

125020521 is a `hidden beast` number, since 125 + 0 + 20 + 521 = 666.

125020521 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2143296 + 122877225 = 1464^2 + 11085^2 .

It is not a de Polignac number, because 125020521 - 2¹¹ = 125018473 is a prime.

It is a super-2 number, since 2×125020521² = 31260261342222882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125020494 and 125020503.

It is not an unprimeable number, because it can be changed into a prime (125020541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9075 + ... + 18231.

It is an arithmetic number, because the mean of its divisors is an integer number (7917091).

Almost surely, 2^125020521 is an apocalyptic number.

It is an amenable number.

125020521 is a deficient number, since it is larger than the sum of its proper divisors (64989663).

125020521 is a wasteful number, since it uses less digits than its factorization.

125020521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9241 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 125020521 is about 11181.2575768560. The cubic root of 125020521 is about 500.0273598362.

The spelling of 125020521 in words is "one hundred twenty-five million, twenty thousand, five hundred twenty-one".