88200513 has 24 divisors (see below), whose sum is σ = 133309800. Its totient is φ = 56120064.

The previous prime is 88200509. The next prime is 88200517. The reversal of 88200513 is 31500288.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88200509) and next prime (88200517).

It can be written as a sum of positive squares in 4 ways, for example, as 815409 + 87385104 = 903^2 + 9348^2 .

It is not a de Polignac number, because 88200513 - 2² = 88200509 is a prime.

It is not an unprimeable number, because it can be changed into a prime (88200517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21331 + ... + 25127.

It is an arithmetic number, because the mean of its divisors is an integer number (5554575).

Almost surely, 2^88200513 is an apocalyptic number.

It is an amenable number.

88200513 is a deficient number, since it is larger than the sum of its proper divisors (45109287).

88200513 is a wasteful number, since it uses less digits than its factorization.

88200513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 88200513 is about 9391.5128174326. The cubic root of 88200513 is about 445.1335928491.

The spelling of 88200513 in words is "eighty-eight million, two hundred thousand, five hundred thirteen".