2251154006335 has 48 divisors (see below), whose sum is σ = 3058167420000. Its totient is φ = 1581225161472.

The previous prime is 2251154006303. The next prime is 2251154006359. The reversal of 2251154006335 is 5336004511522.

It is not a de Polignac number, because 2251154006335 - 2⁵ = 2251154006303 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2251154006294 and 2251154006303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5972041 + ... + 6337789.

It is an arithmetic number, because the mean of its divisors is an integer number (63711821250).

Almost surely, 2^{2251154006335} is an apocalyptic number.

2251154006335 is a deficient number, since it is larger than the sum of its proper divisors (807013413665).

2251154006335 is a wasteful number, since it uses less digits than its factorization.

2251154006335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365992 (or 365969 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

Adding to 2251154006335 its reverse (5336004511522), we get a palindrome (7587158517857).

The spelling of 2251154006335 in words is "two trillion, two hundred fifty-one billion, one hundred fifty-four million, six thousand, three hundred thirty-five".