2526528256252 has 216 divisors, whose sum is σ = 6284661129600. Its totient is φ = 879327187200.

The previous prime is 2526528256243. The next prime is 2526528256331.

2526528256252 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 2526528256252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9425374 + ... + 9689722.

Almost surely, 2^{2526528256252} is an apocalyptic number.

2526528256252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2526528256252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142330564800).

2526528256252 is an abundant number, since it is smaller than the sum of its proper divisors (3758132873348).

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

2526528256252 is a wasteful number, since it uses less digits than its factorization.

2526528256252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264433 (or 264413 counting only the distinct ones).

The product of its digits is 11520000, while the sum is 52.

The spelling of 2526528256252 in words is "two trillion, five hundred twenty-six billion, five hundred twenty-eight million, two hundred fifty-six thousand, two hundred fifty-two".