315128009952 has 192 divisors, whose sum is σ = 1096097909760. Its totient is φ = 86121902592.

The previous prime is 315128009897. The next prime is 315128009981. The reversal of 315128009952 is 259900821513.

315128009952 is a `hidden beast` number, since 3 + 1 + 512 + 80 + 0 + 9 + 9 + 52 = 666.

It is a super-2 number, since 2×315128009952² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 315128009898 and 315128009907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 993603 + ... + 1271810.

It is an arithmetic number, because the mean of its divisors is an integer number (5708843280).

Almost surely, 2^315128009952 is an apocalyptic number.

315128009952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

315128009952 is an abundant number, since it is smaller than the sum of its proper divisors (780969899808).

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

315128009952 is a wasteful number, since it uses less digits than its factorization.

315128009952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265462 (or 2265448 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 315128009952 in words is "three hundred fifteen billion, one hundred twenty-eight million, nine thousand, nine hundred fifty-two".