311513916 has 144 divisors (see below), whose sum is σ = 912860928. Its totient is φ = 80709120.

The previous prime is 311513903. The next prime is 311513929. The reversal of 311513916 is 619315113.

It is an interprime number because it is at equal distance from previous prime (311513903) and next prime (311513929).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1372195 + ... + 1372421.

It is an arithmetic number, because the mean of its divisors is an integer number (6339312).

Almost surely, 2^311513916 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 311513916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456430464).

311513916 is an abundant number, since it is smaller than the sum of its proper divisors (601347012).

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

311513916 is a wasteful number, since it uses less digits than its factorization.

311513916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 287 counting only the distinct ones).

The product of its digits is 2430, while the sum is 30.

The square root of 311513916 is about 17649.7568255203. The cubic root of 311513916 is about 677.8898803935.

The spelling of 311513916 in words is "three hundred eleven million, five hundred thirteen thousand, nine hundred sixteen".