2251514214041 has 8 divisors (see below), whose sum is σ = 2273852479944. Its totient is φ = 2229176851200.

The previous prime is 2251514214031. The next prime is 2251514214097. The reversal of 2251514214041 is 1404124151522.

It can be written as a sum of positive squares in 4 ways, for example, as 1728951490816 + 522562723225 = 1314896^2 + 722885^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2251514214041 is a prime.

It is a super-4 number, since 4×2251514214041⁴ (a number of 51 digits) contains 4444 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2251514213989 and 2251514214007.

It is not an unprimeable number, because it can be changed into a prime (2251514214031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5502641 + ... + 5897633.

It is an arithmetic number, because the mean of its divisors is an integer number (284231559993).

Almost surely, 2^{2251514214041} is an apocalyptic number.

It is an amenable number.

2251514214041 is a deficient number, since it is larger than the sum of its proper divisors (22338265903).

2251514214041 is a wasteful number, since it uses less digits than its factorization.

2251514214041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451531.

The product of its (nonzero) digits is 12800, while the sum is 32.

Adding to 2251514214041 its reverse (1404124151522), we get a palindrome (3655638365563).

The spelling of 2251514214041 in words is "two trillion, two hundred fifty-one billion, five hundred fourteen million, two hundred fourteen thousand, forty-one".