8235413407081 has 27 divisors (see below), whose sum is σ = 10111185606519. Its totient is φ = 6687093436128.

The previous prime is 8235413407057. The next prime is 8235413407099. The reversal of 8235413407081 is 1807043145328.

The square root of 8235413407081 is 2869741.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7001501221225 + 1233912185856 = 2646035^2 + 1110816^2 .

It is not a de Polignac number, because 8235413407081 - 2⁹ = 8235413406569 is a prime.

It is a super-2 number, since 2×8235413407081² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8235413407021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 381664765 + ... + 381686341.

It is an arithmetic number, because the mean of its divisors is an integer number (374488355797).

Almost surely, 2^{8235413407081} is an apocalyptic number.

8235413407081 is the 2869741-st square number.

8235413407081 is the 1434871-st centered octagonal number.

It is an amenable number.

8235413407081 is a deficient number, since it is larger than the sum of its proper divisors (1875772199438).

8235413407081 is an frugal number, since it uses more digits than its factorization.

8235413407081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43206 (or 21603 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 8235413407081 in words is "eight trillion, two hundred thirty-five billion, four hundred thirteen million, four hundred seven thousand, eighty-one".