501025564314 has 128 divisors (see below), whose sum is σ = 1230395016960. Its totient is φ = 151728111360.

The previous prime is 501025564309. The next prime is 501025564327. The reversal of 501025564314 is 413465520105.

501025564314 is a `hidden beast` number, since 5 + 0 + 1 + 0 + 2 + 5 + 5 + 643 + 1 + 4 = 666.

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, 117251682 + ... + 117255954.

It is an arithmetic number, because the mean of its divisors is an integer number (9612461070).

Almost surely, 2^501025564314 is an apocalyptic number.

501025564314 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 501025564314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615197508480).

501025564314 is an abundant number, since it is smaller than the sum of its proper divisors (729369452646).

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

501025564314 is a wasteful number, since it uses less digits than its factorization.

501025564314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6744 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 501025564314 in words is "five hundred one billion, twenty-five million, five hundred sixty-four thousand, three hundred fourteen".