125435524513 has 8 divisors (see below), whose sum is σ = 135096564456. Its totient is φ = 115776220800.

The previous prime is 125435524493. The next prime is 125435524519. The reversal of 125435524513 is 315425534521.

It can be written as a sum of positive squares in 4 ways, for example, as 15985050624 + 109450473889 = 126432^2 + 330833^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 125435524513 - 2⁹ = 125435524001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125435524519) 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, 282028 + ... + 574813.

It is an arithmetic number, because the mean of its divisors is an integer number (16887070557).

Almost surely, 2^125435524513 is an apocalyptic number.

125435524513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

125435524513 is a deficient number, since it is larger than the sum of its proper divisors (9661039943).

125435524513 is a wasteful number, since it uses less digits than its factorization.

125435524513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868115.

The product of its digits is 360000, while the sum is 40.

The spelling of 125435524513 in words is "one hundred twenty-five billion, four hundred thirty-five million, five hundred twenty-four thousand, five hundred thirteen".