527319360414 has 128 divisors (see below), whose sum is σ = 1461462082560. Its totient is φ = 136920067200.

The previous prime is 527319360397. The next prime is 527319360439. The reversal of 527319360414 is 414063913725.

527319360414 is a `hidden beast` number, since 5 + 2 + 7 + 31 + 9 + 3 + 604 + 1 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 527319360414.

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, 13373232 + ... + 13412604.

It is an arithmetic number, because the mean of its divisors is an integer number (11417672520).

Almost surely, 2^527319360414 is an apocalyptic number.

527319360414 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 527319360414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730731041280).

527319360414 is an abundant number, since it is smaller than the sum of its proper divisors (934142722146).

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

527319360414 is a wasteful number, since it uses less digits than its factorization.

527319360414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42623 (or 42617 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 527319360414 in words is "five hundred twenty-seven billion, three hundred nineteen million, three hundred sixty thousand, four hundred fourteen".