87153125 has 18 divisors (see below), whose sum is σ = 109590642. Its totient is φ = 69305000.

The previous prime is 87153119. The next prime is 87153137. The reversal of 87153125 is 52135178.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 40271716 + 46881409 = 6346^2 + 6847^2 .

It is not a de Polignac number, because 87153125 - 2⁶ = 87153061 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 87153091 and 87153100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 521792 + ... + 521958.

It is an arithmetic number, because the mean of its divisors is an integer number (6088369).

Almost surely, 2^87153125 is an apocalyptic number.

It is an amenable number.

87153125 is a deficient number, since it is larger than the sum of its proper divisors (22437517).

87153125 is an frugal number, since it uses more digits than its factorization.

87153125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 172 counting only the distinct ones).

The product of its digits is 8400, while the sum is 32.

The square root of 87153125 is about 9335.5838060616. The cubic root of 87153125 is about 443.3645730840.

It can be divided in two parts, 87153 and 125, that added together give a palindrome (87278).

The spelling of 87153125 in words is "eighty-seven million, one hundred fifty-three thousand, one hundred twenty-five".