509471895529 has 9 divisors (see below), whose sum is σ = 537711798717. Its totient is φ = 482644737324.

The previous prime is 509471895487. The next prime is 509471895533. The reversal of 509471895529 is 925598174905.

The square root of 509471895529 is 713773.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 509471895529 - 2¹¹ = 509471893481 is a prime.

It is a super-2 number, since 2×509471895529² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509471892529) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13542904 + ... + 13580470.

It is an arithmetic number, because the mean of its divisors is an integer number (59745755413).

Almost surely, 2^509471895529 is an apocalyptic number.

509471895529 is the 713773-rd square number.

509471895529 is the 356887-th centered octagonal number.

It is an amenable number.

509471895529 is a deficient number, since it is larger than the sum of its proper divisors (28239903188).

509471895529 is an frugal number, since it uses more digits than its factorization.

509471895529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75172 (or 37586 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 64.

Multiplying 509471895529 by its sum of digits (64), we get a square (32606201313856 = 5710184²).

The spelling of 509471895529 in words is "five hundred nine billion, four hundred seventy-one million, eight hundred ninety-five thousand, five hundred twenty-nine".