530727005952 has 288 divisors, whose sum is σ = 1843836476160. Its totient is φ = 148454830080.

The previous prime is 530727005951. The next prime is 530727005957. The reversal of 530727005952 is 259500727035.

530727005952 is a `hidden beast` number, since 5 + 30 + 7 + 27 + 0 + 0 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 530727005898 and 530727005907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530727005951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 719943 + ... + 1256889.

Almost surely, 2^530727005952 is an apocalyptic number.

530727005952 is a gapful number since it is divisible by the number (52) 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 530727005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921918238080).

530727005952 is an abundant number, since it is smaller than the sum of its proper divisors (1313109470208).

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

530727005952 is a wasteful number, since it uses less digits than its factorization.

530727005952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536996 (or 536976 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The spelling of 530727005952 in words is "five hundred thirty billion, seven hundred twenty-seven million, five thousand, nine hundred fifty-two".