125787753 has 72 divisors (see below), whose sum is σ = 234161928. Its totient is φ = 64447488.

The previous prime is 125787751. The next prime is 125787763. The reversal of 125787753 is 357787521.

125787753 is a `hidden beast` number, since 1 + 2 + 578 + 7 + 75 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27123264 + 98664489 = 5208^2 + 9933^2 .

It is not a de Polignac number, because 125787753 - 2¹ = 125787751 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 125787699 and 125787708.

It is not an unprimeable number, because it can be changed into a prime (125787751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 211825 + ... + 212417.

It is an arithmetic number, because the mean of its divisors is an integer number (3252249).

Almost surely, 2^125787753 is an apocalyptic number.

125787753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

125787753 is a deficient number, since it is larger than the sum of its proper divisors (108374175).

125787753 is a wasteful number, since it uses less digits than its factorization.

125787753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 653 counting only the distinct ones).

The product of its digits is 411600, while the sum is 45.

The square root of 125787753 is about 11215.5139427491. The cubic root of 125787753 is about 501.0481386089.

The spelling of 125787753 in words is "one hundred twenty-five million, seven hundred eighty-seven thousand, seven hundred fifty-three".