2251351134201 has 16 divisors (see below), whose sum is σ = 3232752735296. Its totient is φ = 1385428245696.

The previous prime is 2251351134173. The next prime is 2251351134209. The reversal of 2251351134201 is 1024311531522.

It is a happy number.

It is not a de Polignac number, because 2251351134201 - 2⁴¹ = 52327878649 is a prime.

It is a super-2 number, since 2×2251351134201² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2251351134209) 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 15 ways as a sum of consecutive naturals, for example, 2908371 + ... + 3600183.

It is an arithmetic number, because the mean of its divisors is an integer number (202047045956).

Almost surely, 2^{2251351134201} is an apocalyptic number.

It is an amenable number.

2251351134201 is a deficient number, since it is larger than the sum of its proper divisors (981401601095).

2251351134201 is a wasteful number, since it uses less digits than its factorization.

2251351134201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775272.

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 2251351134201 its reverse (1024311531522), we get a palindrome (3275662665723).

The spelling of 2251351134201 in words is "two trillion, two hundred fifty-one billion, three hundred fifty-one million, one hundred thirty-four thousand, two hundred one".