255434101434552 has 128 divisors (see below), whose sum is σ = 658714522752000. Its totient is φ = 82480999707648.

The previous prime is 255434101434527. The next prime is 255434101434587.

It is a happy number.

255434101434552 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2831849949 + ... + 2831940147.

It is an arithmetic number, because the mean of its divisors is an integer number (5146207209000).

Almost surely, 2^{255434101434552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255434101434552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329357261376000).

255434101434552 is an abundant number, since it is smaller than the sum of its proper divisors (403280421317448).

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

255434101434552 is a wasteful number, since it uses less digits than its factorization.

255434101434552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104165 (or 104161 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 48.

It can be divided in two parts, 25543410 and 1434552, that added together give a palindrome (26977962).

The spelling of 255434101434552 in words is "two hundred fifty-five trillion, four hundred thirty-four billion, one hundred one million, four hundred thirty-four thousand, five hundred fifty-two".