5287410516969 has 405 divisors, whose sum is σ = 10392991783317. Its totient is φ = 2670143035392.

The previous prime is 5287410516937. The next prime is 5287410516977. The reversal of 5287410516969 is 9696150147825.

The square root of 5287410516969 is 2299437.

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

5287410516969 is a `hidden beast` number, since 5 + 2 + 87 + 410 + 51 + 6 + 96 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 645109356969 + 4642301160000 = 803187^2 + 2154600^2 .

It is not a de Polignac number, because 5287410516969 - 2⁵ = 5287410516937 is a prime.

It is a super-2 number, since 2×5287410516969² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5287410516169) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 46791243457 + ... + 46791243569.

Almost surely, 2^{5287410516969} is an apocalyptic number.

5287410516969 is the 2299437-th square number.

5287410516969 is the 1149719-th centered octagonal number.

It is an amenable number.

5287410516969 is a deficient number, since it is larger than the sum of its proper divisors (5105581266348).

5287410516969 is a wasteful number, since it uses less digits than its factorization.

5287410516969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 5287410516969 in words is "five trillion, two hundred eighty-seven billion, four hundred ten million, five hundred sixteen thousand, nine hundred sixty-nine".