313625550060 has 288 divisors, whose sum is σ = 1024708164480. Its totient is φ = 77485363200.

The previous prime is 313625550047. The next prime is 313625550071. The reversal of 313625550060 is 60055526313.

313625550060 is a `hidden beast` number, since 31 + 3 + 62 + 5 + 5 + 500 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 313625549997 and 313625550024.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13043209 + ... + 13067231.

It is an arithmetic number, because the mean of its divisors is an integer number (3558014460).

Almost surely, 2^313625550060 is an apocalyptic number.

313625550060 is a gapful number since it is divisible by the number (30) 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 313625550060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512354082240).

313625550060 is an abundant number, since it is smaller than the sum of its proper divisors (711082614420).

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

313625550060 is a wasteful number, since it uses less digits than its factorization.

313625550060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24169 (or 24164 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 313625550060 in words is "three hundred thirteen billion, six hundred twenty-five million, five hundred fifty thousand, sixty".