312526116 has 108 divisors (see below), whose sum is σ = 959055552. Its totient is φ = 85399776.

The previous prime is 312526111. The next prime is 312526121. The reversal of 312526116 is 611625213.

It is an interprime number because it is at equal distance from previous prime (312526111) and next prime (312526121).

It is a self number, because there is not a number n which added to its sum of digits gives 312526116.

It is not an unprimeable number, because it can be changed into a prime (312526111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36721 + ... + 44423.

It is an arithmetic number, because the mean of its divisors is an integer number (8880144).

Almost surely, 2^312526116 is an apocalyptic number.

312526116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312526116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479527776).

312526116 is an abundant number, since it is smaller than the sum of its proper divisors (646529436).

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

312526116 is a wasteful number, since it uses less digits than its factorization.

312526116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7750 (or 7738 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 312526116 is about 17678.4081862593. The cubic root of 312526116 is about 678.6233075503.

It can be divided in two parts, 3125 and 26116, that added together give a square (29241 = 171²).

The spelling of 312526116 in words is "three hundred twelve million, five hundred twenty-six thousand, one hundred sixteen".