2523200305153 has 16 divisors (see below), whose sum is σ = 2801127251520. Its totient is φ = 2253416742400.

The previous prime is 2523200305127. The next prime is 2523200305189. The reversal of 2523200305153 is 3515030023252.

It is a cyclic number.

It is not a de Polignac number, because 2523200305153 - 2⁹ = 2523200304641 is a prime.

It is a super-3 number, since 3×2523200305153³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2523200303153) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 351400 + ... + 2273737.

It is an arithmetic number, because the mean of its divisors is an integer number (175070453220).

Almost surely, 2^{2523200305153} is an apocalyptic number.

It is an amenable number.

2523200305153 is a deficient number, since it is larger than the sum of its proper divisors (277926946367).

2523200305153 is a wasteful number, since it uses less digits than its factorization.

2523200305153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626688.

The product of its (nonzero) digits is 27000, while the sum is 31.

The spelling of 2523200305153 in words is "two trillion, five hundred twenty-three billion, two hundred million, three hundred five thousand, one hundred fifty-three".