2521353367129 has 3 divisors (see below), whose sum is σ = 2521354955007. Its totient is φ = 2521351779252.

The previous prime is 2521353367111. The next prime is 2521353367151. The reversal of 2521353367129 is 9217633531252.

The square root of 2521353367129 is 1587877.

It is a perfect power (a square), and thus also a powerful number.

2521353367129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 614601121225 + 1906752245904 = 783965^2 + 1380852^2 .

It is not a de Polignac number, because 2521353367129 - 2¹⁵ = 2521353334361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2521353347129) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 793939 + ... + 2381815.

It is an arithmetic number, because the mean of its divisors is an integer number (840451651669).

Almost surely, 2^{2521353367129} is an apocalyptic number.

2521353367129 is the 1587877-th square number.

2521353367129 is the 793939-th centered octagonal number.

It is an amenable number.

2521353367129 is a deficient number, since it is larger than the sum of its proper divisors (1587878).

2521353367129 is an frugal number, since it uses more digits than its factorization.

2521353367129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175754 (or 1587877 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 49.

Multiplying 2521353367129 by its sum of digits (49), we get a square (123546314989321 = 11115139²).

The spelling of 2521353367129 in words is "two trillion, five hundred twenty-one billion, three hundred fifty-three million, three hundred sixty-seven thousand, one hundred twenty-nine".