2553434343552 has 64 divisors (see below), whose sum is σ = 7001352264960. Its totient is φ = 823688494080.

The previous prime is 2553434343527. The next prime is 2553434343619.

It is a happy number.

2553434343552 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107239203 + ... + 107263010.

It is an arithmetic number, because the mean of its divisors is an integer number (109396129140).

Almost surely, 2^{2553434343552} is an apocalyptic number.

It is an amenable number.

2553434343552 is an abundant number, since it is smaller than the sum of its proper divisors (4447917921408).

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

2553434343552 is a wasteful number, since it uses less digits than its factorization.

2553434343552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214502261 (or 214502249 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 48.

The spelling of 2553434343552 in words is "two trillion, five hundred fifty-three billion, four hundred thirty-four million, three hundred forty-three thousand, five hundred fifty-two".