120525075607257 has 24 divisors (see below), whose sum is σ = 175811064758784. Its totient is φ = 79556790544704.

The previous prime is 120525075607231. The next prime is 120525075607267. The reversal of 120525075607257 is 752706570525021.

120525075607257 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 2 + 5 + 0 + 7 + 5 + 607 + 25 + 7 = 666.

It is not a de Polignac number, because 120525075607257 - 2¹⁸ = 120525075345113 is a prime.

It is a super-2 number, since 2×120525075607257² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120525075607217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5144908 + ... + 16356045.

It is an arithmetic number, because the mean of its divisors is an integer number (7325461031616).

Almost surely, 2^{120525075607257} is an apocalyptic number.

It is an amenable number.

120525075607257 is a deficient number, since it is larger than the sum of its proper divisors (55285989151527).

120525075607257 is a wasteful number, since it uses less digits than its factorization.

120525075607257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21507109 (or 21507106 counting only the distinct ones).

The product of its (nonzero) digits is 10290000, while the sum is 54.

The spelling of 120525075607257 in words is "one hundred twenty trillion, five hundred twenty-five billion, seventy-five million, six hundred seven thousand, two hundred fifty-seven".