2253505126523 has 16 divisors (see below), whose sum is σ = 2581364064000. Its totient is φ = 1927132826976.

The previous prime is 2253505126517. The next prime is 2253505126553. The reversal of 2253505126523 is 3256215053522.

It is not a de Polignac number, because 2253505126523 - 2⁴ = 2253505126507 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2253505126553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6257036 + ... + 6607382.

It is an arithmetic number, because the mean of its divisors is an integer number (161335254000).

Almost surely, 2^{2253505126523} is an apocalyptic number.

2253505126523 is a deficient number, since it is larger than the sum of its proper divisors (327858937477).

2253505126523 is a wasteful number, since it uses less digits than its factorization.

2253505126523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352466.

The product of its (nonzero) digits is 540000, while the sum is 41.

The spelling of 2253505126523 in words is "two trillion, two hundred fifty-three billion, five hundred five million, one hundred twenty-six thousand, five hundred twenty-three".