2251653523 has 16 divisors (see below), whose sum is σ = 2623559680. Its totient is φ = 1892569536.

The previous prime is 2251653493. The next prime is 2251653527. The reversal of 2251653523 is 3253561522.

It is a cyclic number.

It is not a de Polignac number, because 2251653523 - 2⁵ = 2251653491 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2251653527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93823 + ... + 115351.

It is an arithmetic number, because the mean of its divisors is an integer number (163972480).

Almost surely, 2^2251653523 is an apocalyptic number.

2251653523 is a deficient number, since it is larger than the sum of its proper divisors (371906157).

2251653523 is a wasteful number, since it uses less digits than its factorization.

2251653523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21826.

The product of its digits is 54000, while the sum is 34.

The square root of 2251653523 is about 47451.5913642525. The cubic root of 2251653523 is about 1310.6916152566.

The spelling of 2251653523 in words is "two billion, two hundred fifty-one million, six hundred fifty-three thousand, five hundred twenty-three".