2551552551552 has 32 divisors (see below), whose sum is σ = 6777561466080. Its totient is φ = 850517517056.

The previous prime is 2551552551497. The next prime is 2551552551553.

2551552551552 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2551552551553) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3322333668 + ... + 3322334435.

It is an arithmetic number, because the mean of its divisors is an integer number (211798795815).

Almost surely, 2^{2551552551552} is an apocalyptic number.

It is an amenable number.

2551552551552 is an abundant number, since it is smaller than the sum of its proper divisors (4226008914528).

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

2551552551552 is an equidigital number, since it uses as much as digits as its factorization.

2551552551552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6644668120 (or 6644668108 counting only the distinct ones).

The product of its digits is 3125000, while the sum is 48.

The spelling of 2551552551552 in words is "two trillion, five hundred fifty-one billion, five hundred fifty-two million, five hundred fifty-one thousand, five hundred fifty-two".