87503052 has 96 divisors (see below), whose sum is σ = 253112832. Its totient is φ = 22910976.

The previous prime is 87503047. The next prime is 87503057. The reversal of 87503052 is 25030578.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87503047) and next prime (87503057).

It is not an unprimeable number, because it can be changed into a prime (87503057) 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 31 ways as a sum of consecutive naturals, for example, 247708 + ... + 248060.

It is an arithmetic number, because the mean of its divisors is an integer number (2636592).

Almost surely, 2^87503052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87503052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126556416).

87503052 is an abundant number, since it is smaller than the sum of its proper divisors (165609780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87503052 is a wasteful number, since it uses less digits than its factorization.

87503052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 87503052 is about 9354.3066017744. The cubic root of 87503052 is about 443.9571624932.

The spelling of 87503052 in words is "eighty-seven million, five hundred three thousand, fifty-two".