509571972 has 216 divisors, whose sum is σ = 1675442496. Its totient is φ = 134229312.

The previous prime is 509571961. The next prime is 509571977. The reversal of 509571972 is 279175905.

509571972 is a `hidden beast` number, since 5 + 0 + 9 + 571 + 9 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509571977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 618753 + ... + 619575.

Almost surely, 2^509571972 is an apocalyptic number.

509571972 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 509571972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837721248).

509571972 is an abundant number, since it is smaller than the sum of its proper divisors (1165870524).

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

509571972 is a wasteful number, since it uses less digits than its factorization.

509571972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The square root of 509571972 is about 22573.7008928532. The cubic root of 509571972 is about 798.7333977902.

The spelling of 509571972 in words is "five hundred nine million, five hundred seventy-one thousand, nine hundred seventy-two".