1683641211257 has 8 divisors (see below), whose sum is σ = 1723053081600. Its totient is φ = 1644378912544.

The previous prime is 1683641211191. The next prime is 1683641211281. The reversal of 1683641211257 is 7521121463861.

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 1683641211257 - 2⁴⁰ = 584129583481 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1683641211157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37370132 + ... + 37415157.

It is an arithmetic number, because the mean of its divisors is an integer number (215381635200).

Almost surely, 2^{1683641211257} is an apocalyptic number.

It is an amenable number.

1683641211257 is a deficient number, since it is larger than the sum of its proper divisors (39411870343).

1683641211257 is an equidigital number, since it uses as much as digits as its factorization.

1683641211257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74785815.

The product of its digits is 483840, while the sum is 47.

The spelling of 1683641211257 in words is "one trillion, six hundred eighty-three billion, six hundred forty-one million, two hundred eleven thousand, two hundred fifty-seven".