2505253433120 has 24 divisors (see below), whose sum is σ = 5918661236124. Its totient is φ = 1002101373184.

The previous prime is 2505253433083. The next prime is 2505253433129. The reversal of 2505253433120 is 213343525052.

2505253433120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2308539894544 + 196713538576 = 1519388^2 + 443524^2 .

It is not an unprimeable number, because it can be changed into a prime (2505253433129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7828916819 + ... + 7828917138.

Almost surely, 2^{2505253433120} is an apocalyptic number.

2505253433120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505253433120 is an abundant number, since it is smaller than the sum of its proper divisors (3413407803004).

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

2505253433120 is a wasteful number, since it uses less digits than its factorization.

2505253433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15657833972 (or 15657833964 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 2505253433120 its reverse (213343525052), we get a palindrome (2718596958172).

The spelling of 2505253433120 in words is "two trillion, five hundred five billion, two hundred fifty-three million, four hundred thirty-three thousand, one hundred twenty".