312713537500 has 288 divisors, whose sum is σ = 845159156352. Its totient is φ = 98582400000.

The previous prime is 312713537483. The next prime is 312713537501. The reversal of 312713537500 is 5735317213.

It is a self number, because there is not a number n which added to its sum of digits gives 312713537500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312713537501) 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 95 ways as a sum of consecutive naturals, for example, 478887174 + ... + 478887826.

It is an arithmetic number, because the mean of its divisors is an integer number (2934580404).

Almost surely, 2^312713537500 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 312713537500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422579578176).

312713537500 is an abundant number, since it is smaller than the sum of its proper divisors (532445618852).

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

312713537500 is a wasteful number, since it uses less digits than its factorization.

312713537500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 37.

The spelling of 312713537500 in words is "three hundred twelve billion, seven hundred thirteen million, five hundred thirty-seven thousand, five hundred".