2251563338141 has 24 divisors (see below), whose sum is σ = 2511073405800. Its totient is φ = 2016463527936.

The previous prime is 2251563338093. The next prime is 2251563338231. The reversal of 2251563338141 is 1418333651522.

It can be written as a sum of positive squares in 12 ways, for example, as 916718162116 + 1334845176025 = 957454^2 + 1155355^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2251563338141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2251563338092 and 2251563338101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251563335141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1697285 + ... + 2717333.

It is an arithmetic number, because the mean of its divisors is an integer number (104628058575).

Almost surely, 2^{2251563338141} is an apocalyptic number.

It is an amenable number.

2251563338141 is a deficient number, since it is larger than the sum of its proper divisors (259510067659).

2251563338141 is a wasteful number, since it uses less digits than its factorization.

2251563338141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020465 (or 1020452 counting only the distinct ones).

The product of its digits is 518400, while the sum is 44.

Adding to 2251563338141 its reverse (1418333651522), we get a palindrome (3669896989663).

The spelling of 2251563338141 in words is "two trillion, two hundred fifty-one billion, five hundred sixty-three million, three hundred thirty-eight thousand, one hundred forty-one".