2225434511251 has 16 divisors (see below), whose sum is σ = 2547578682880. Its totient is φ = 1904349061440.

The previous prime is 2225434511243. The next prime is 2225434511257. The reversal of 2225434511251 is 1521154345222.

It is not a de Polignac number, because 2225434511251 - 2³ = 2225434511243 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2225434511251.

It is not an unprimeable number, because it can be changed into a prime (2225434511257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10789156 + ... + 10993486.

It is an arithmetic number, because the mean of its divisors is an integer number (159223667680).

Almost surely, 2^{2225434511251} is an apocalyptic number.

2225434511251 is a deficient number, since it is larger than the sum of its proper divisors (322144171629).

2225434511251 is a wasteful number, since it uses less digits than its factorization.

2225434511251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206914.

The product of its digits is 96000, while the sum is 37.

Adding to 2225434511251 its reverse (1521154345222), we get a palindrome (3746588856473).

The spelling of 2225434511251 in words is "two trillion, two hundred twenty-five billion, four hundred thirty-four million, five hundred eleven thousand, two hundred fifty-one".