3257248427523 has 64 divisors (see below), whose sum is σ = 4931800473600. Its totient is φ = 2124315378720.

The previous prime is 3257248427473. The next prime is 3257248427567.

3257248427523 is a `hidden beast` number, since 3 + 2 + 5 + 72 + 4 + 8 + 42 + 7 + 523 = 666.

3257248427523 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3257248427523 - 2⁸ = 3257248427267 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3257248427523.

It is not an unprimeable number, because it can be changed into a prime (3257248420523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106811308 + ... + 106841798.

It is an arithmetic number, because the mean of its divisors is an integer number (77059382400).

Almost surely, 2^{3257248427523} is an apocalyptic number.

3257248427523 is a deficient number, since it is larger than the sum of its proper divisors (1674552046077).

3257248427523 is a wasteful number, since it uses less digits than its factorization.

3257248427523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31069 (or 31063 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 54.

The spelling of 3257248427523 in words is "three trillion, two hundred fifty-seven billion, two hundred forty-eight million, four hundred twenty-seven thousand, five hundred twenty-three".