2251666625556 has 72 divisors (see below), whose sum is σ = 5443021366272. Its totient is φ = 724446192000.

The previous prime is 2251666625543. The next prime is 2251666625569. The reversal of 2251666625556 is 6555266661522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2251666625543) and next prime (2251666625569).

It is a super-3 number, since 3×2251666625556³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2251666625496 and 2251666625505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4161856 + ... + 4671656.

It is an arithmetic number, because the mean of its divisors is an integer number (75597518976).

Almost surely, 2^{2251666625556} is an apocalyptic number.

It is an amenable number.

2251666625556 is an abundant number, since it is smaller than the sum of its proper divisors (3191354740716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2251666625556 is a wasteful number, since it uses less digits than its factorization.

2251666625556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510253 (or 510220 counting only the distinct ones).

The product of its digits is 38880000, while the sum is 57.

The spelling of 2251666625556 in words is "two trillion, two hundred fifty-one billion, six hundred sixty-six million, six hundred twenty-five thousand, five hundred fifty-six".