309326181241 has 81 divisors (see below), whose sum is σ = 410445490959. Its totient is φ = 232257009600.

The previous prime is 309326181209. The next prime is 309326181293. The reversal of 309326181241 is 142181623903.

It is a happy number.

The square root of 309326181241 is 556171.

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., 62817903225 + 246508278016 = 250635^2 + 496496^2 .

It is not a de Polignac number, because 309326181241 - 2⁵ = 309326181209 is a prime.

It is a super-2 number, since 2×309326181241² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 309326181194 and 309326181203.

It is not an unprimeable number, because it can be changed into a prime (309326181641) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1327580061 + ... + 1327580293.

Almost surely, 2^309326181241 is an apocalyptic number.

309326181241 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

309326181241 is the 556171-st square number.

309326181241 is the 278086-th centered octagonal number.

It is an amenable number.

309326181241 is a deficient number, since it is larger than the sum of its proper divisors (101119309718).

309326181241 is an equidigital number, since it uses as much as digits as its factorization.

309326181241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 309326181241 in words is "three hundred nine billion, three hundred twenty-six million, one hundred eighty-one thousand, two hundred forty-one".