125124520 has 32 divisors (see below), whose sum is σ = 286846920. Its totient is φ = 49104640.

The previous prime is 125124487. The next prime is 125124521. The reversal of 125124520 is 25421521.

It can be written as a sum of positive squares in 4 ways, for example, as 101485476 + 23639044 = 10074^2 + 4862^2 .

It is a super-3 number, since 3×125124520³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 125124491 and 125124500.

It is not an unprimeable number, because it can be changed into a prime (125124521) 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, 27391 + ... + 31630.

Almost surely, 2^125124520 is an apocalyptic number.

125124520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125124520 is an abundant number, since it is smaller than the sum of its proper divisors (161722400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125124520 is a wasteful number, since it uses less digits than its factorization.

125124520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59085 (or 59081 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 125124520 is about 11185.9072050505. The cubic root of 125124520 is about 500.1659715674.

The spelling of 125124520 in words is "one hundred twenty-five million, one hundred twenty-four thousand, five hundred twenty".