87824000253 has 16 divisors (see below), whose sum is σ = 127748984832. Its totient is φ = 53224590000.

The previous prime is 87824000227. The next prime is 87824000261. The reversal of 87824000253 is 35200042878.

It is not a de Polignac number, because 87824000253 - 2⁵ = 87824000221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87824000053) 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, 1490788 + ... + 1548578.

It is an arithmetic number, because the mean of its divisors is an integer number (7984311552).

Almost surely, 2^87824000253 is an apocalyptic number.

It is an amenable number.

87824000253 is a deficient number, since it is larger than the sum of its proper divisors (39924984579).

87824000253 is a wasteful number, since it uses less digits than its factorization.

87824000253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103856.

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 87824000253 in words is "eighty-seven billion, eight hundred twenty-four million, two hundred fifty-three", and thus it is an aban number.