2552520252552 has 64 divisors (see below), whose sum is σ = 6507142041600. Its totient is φ = 834139824960.

The previous prime is 2552520252539. The next prime is 2552520252613.

2552520252552 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1936224 + ... + 2975567.

It is an arithmetic number, because the mean of its divisors is an integer number (101674094400).

Almost surely, 2^{2552520252552} is an apocalyptic number.

It is an amenable number.

2552520252552 is an abundant number, since it is smaller than the sum of its proper divisors (3954621789048).

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

2552520252552 is a wasteful number, since it uses less digits than its factorization.

2552520252552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4912226 (or 4912222 counting only the distinct ones).

The product of its (nonzero) digits is 1000000, while the sum is 42.

Adding to 2552520252552 its product of nonzero digits (1000000), we get a palindrome (2552521252552).

The spelling of 2552520252552 in words is "two trillion, five hundred fifty-two billion, five hundred twenty million, two hundred fifty-two thousand, five hundred fifty-two".