681431013 has 24 divisors (see below), whose sum is σ = 994593600. Its totient is φ = 449553984.

The previous prime is 681430999. The next prime is 681431027. The reversal of 681431013 is 310134186.

It is an interprime number because it is at equal distance from previous prime (681430999) and next prime (681431027).

It is not a de Polignac number, because 681431013 - 2⁹ = 681430501 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681431063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515968 + ... + 517286.

It is an arithmetic number, because the mean of its divisors is an integer number (41441400).

Almost surely, 2^681431013 is an apocalyptic number.

It is an amenable number.

681431013 is a deficient number, since it is larger than the sum of its proper divisors (313162587).

681431013 is a wasteful number, since it uses less digits than its factorization.

681431013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 681431013 is about 26104.2336221541. The cubic root of 681431013 is about 879.9823571704.

Adding to 681431013 its reverse (310134186), we get a palindrome (991565199).

The spelling of 681431013 in words is "six hundred eighty-one million, four hundred thirty-one thousand, thirteen".