2251516120451 has 16 divisors (see below), whose sum is σ = 2530265493504. Its totient is φ = 1987855699104.

The previous prime is 2251516120351. The next prime is 2251516120457. The reversal of 2251516120451 is 1540216151522.

It is a cyclic number.

It is not a de Polignac number, because 2251516120451 - 2¹⁰ = 2251516119427 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2251516120457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5769230 + ... + 6147116.

It is an arithmetic number, because the mean of its divisors is an integer number (158141593344).

Almost surely, 2^{2251516120451} is an apocalyptic number.

2251516120451 is a deficient number, since it is larger than the sum of its proper divisors (278749373053).

2251516120451 is a wasteful number, since it uses less digits than its factorization.

2251516120451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397850.

The product of its (nonzero) digits is 24000, while the sum is 35.

The spelling of 2251516120451 in words is "two trillion, two hundred fifty-one billion, five hundred sixteen million, one hundred twenty thousand, four hundred fifty-one".