2253125340305 has 16 divisors (see below), whose sum is σ = 3091268536320. Its totient is φ = 1544366198592.

The previous prime is 2253125340253. The next prime is 2253125340331. The reversal of 2253125340305 is 5030435213522.

It is not a de Polignac number, because 2253125340305 - 2¹⁶ = 2253125274769 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13122545 + ... + 13293134.

It is an arithmetic number, because the mean of its divisors is an integer number (193204283520).

Almost surely, 2^{2253125340305} is an apocalyptic number.

It is an amenable number.

2253125340305 is a deficient number, since it is larger than the sum of its proper divisors (838143196015).

2253125340305 is a wasteful number, since it uses less digits than its factorization.

2253125340305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26418128.

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

The spelling of 2253125340305 in words is "two trillion, two hundred fifty-three billion, one hundred twenty-five million, three hundred forty thousand, three hundred five".