335506224615241 has 27 divisors (see below), whose sum is σ = 340175960513991. Its totient is φ = 330900403012704.

The previous prime is 335506224615193. The next prime is 335506224615257. The reversal of 335506224615241 is 142516422605533.

The square root of 335506224615241 is 18316829.

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., 68134541553225 + 267371683062016 = 8254365^2 + 16351504^2 .

It is not a de Polignac number, because 335506224615241 - 2¹⁷ = 335506224484169 is a prime.

It is a super-2 number, since 2×335506224615241² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (335506224615641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 542013286630 + ... + 542013287248.

Almost surely, 2^{335506224615241} is an apocalyptic number.

335506224615241 is the 18316829-th square number.

335506224615241 is the 9158415-th centered octagonal number.

It is an amenable number.

335506224615241 is a deficient number, since it is larger than the sum of its proper divisors (4669735898750).

335506224615241 is an frugal number, since it uses more digits than its factorization.

335506224615241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 49.

The spelling of 335506224615241 in words is "three hundred thirty-five trillion, five hundred six billion, two hundred twenty-four million, six hundred fifteen thousand, two hundred forty-one".