312552500 has 120 divisors (see below), whose sum is σ = 753133920. Its totient is φ = 112752000.

The previous prime is 312552473. The next prime is 312552503. The reversal of 312552500 is 5255213.

312552500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312552503) 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 39 ways as a sum of consecutive naturals, for example, 1917419 + ... + 1917581.

It is an arithmetic number, because the mean of its divisors is an integer number (6276116).

Almost surely, 2^312552500 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 312552500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376566960).

312552500 is an abundant number, since it is smaller than the sum of its proper divisors (440581420).

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

312552500 is a wasteful number, since it uses less digits than its factorization.

312552500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 312552500 is about 17679.1543915426. The cubic root of 312552500 is about 678.6424038675.

The spelling of 312552500 in words is "three hundred twelve million, five hundred fifty-two thousand, five hundred".