313530521472 has 512 divisors, whose sum is σ = 1075866624000. Its totient is φ = 88041406464.

The previous prime is 313530521443. The next prime is 313530521483. The reversal of 313530521472 is 274125035313.

313530521472 is a `hidden beast` number, since 3 + 1 + 3 + 530 + 52 + 1 + 4 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480138298 + ... + 480138950.

It is an arithmetic number, because the mean of its divisors is an integer number (2101302000).

Almost surely, 2^313530521472 is an apocalyptic number.

313530521472 is a gapful number since it is divisible by the number (32) 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 313530521472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537933312000).

313530521472 is an abundant number, since it is smaller than the sum of its proper divisors (762336102528).

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

313530521472 is a wasteful number, since it uses less digits than its factorization.

313530521472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Adding to 313530521472 its reverse (274125035313), we get a palindrome (587655556785).

The spelling of 313530521472 in words is "three hundred thirteen billion, five hundred thirty million, five hundred twenty-one thousand, four hundred seventy-two".