125528560 has 40 divisors (see below), whose sum is σ = 292570560. Its totient is φ = 50088192.

The previous prime is 125528521. The next prime is 125528563. The reversal of 125528560 is 65825521.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125528563) 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, 35346 + ... + 38734.

It is an arithmetic number, because the mean of its divisors is an integer number (7314264).

Almost surely, 2^125528560 is an apocalyptic number.

125528560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125528560 is an abundant number, since it is smaller than the sum of its proper divisors (167042000).

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

125528560 is a wasteful number, since it uses less digits than its factorization.

125528560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The square root of 125528560 is about 11203.9528738745. The cubic root of 125528560 is about 500.7037556579.

It can be divided in two parts, 12552 and 8560, that added together give a palindrome (21112).

The spelling of 125528560 in words is "one hundred twenty-five million, five hundred twenty-eight thousand, five hundred sixty".