16257388375261 has 32 divisors (see below), whose sum is σ = 18052248493440. Its totient is φ = 14517688320000.

The previous prime is 16257388375237. The next prime is 16257388375273.

It is a happy number.

16257388375261 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-16257388375261 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16257388375193 and 16257388375202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16257388375961) 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 31 ways as a sum of consecutive naturals, for example, 593386615 + ... + 593414011.

It is an arithmetic number, because the mean of its divisors is an integer number (564132765420).

Almost surely, 2^{16257388375261} is an apocalyptic number.

16257388375261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16257388375261 is a deficient number, since it is larger than the sum of its proper divisors (1794860118179).

16257388375261 is a wasteful number, since it uses less digits than its factorization.

16257388375261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31645.

The product of its digits is 101606400, while the sum is 64.

The spelling of 16257388375261 in words is "sixteen trillion, two hundred fifty-seven billion, three hundred eighty-eight million, three hundred seventy-five thousand, two hundred sixty-one".