2523306033252 has 36 divisors (see below), whose sum is σ = 6441508975356. Its totient is φ = 832774267200.

The previous prime is 2523306033239. The next prime is 2523306033263.

2523306033252 is a `hidden beast` number, since 2 + 5 + 23 + 3 + 0 + 603 + 3 + 25 + 2 = 666.

2523306033252 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2385986872896 + 137319160356 = 1544664^2 + 370566^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 346985643 + ... + 346992914.

It is an arithmetic number, because the mean of its divisors is an integer number (178930804871).

Almost surely, 2^{2523306033252} is an apocalyptic number.

It is an amenable number.

2523306033252 is an abundant number, since it is smaller than the sum of its proper divisors (3918202942104).

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

2523306033252 is a wasteful number, since it uses less digits than its factorization.

2523306033252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693978668 (or 693978663 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

The spelling of 2523306033252 in words is "two trillion, five hundred twenty-three billion, three hundred six million, thirty-three thousand, two hundred fifty-two".