527864730849 has 63 divisors (see below), whose sum is σ = 804862654689. Its totient is φ = 346037900040.

The previous prime is 527864730847. The next prime is 527864730851. The reversal of 527864730849 is 948037468725.

The square root of 527864730849 is 726543.

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

527864730849 is a `hidden beast` number, since 5 + 2 + 7 + 86 + 473 + 0 + 84 + 9 = 666.

527864730849 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (527864730847) and next prime (527864730851).

It is not a de Polignac number, because 527864730849 - 2¹ = 527864730847 is a prime.

It is not an unprimeable number, because it can be changed into a prime (527864730847) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1392782742 + ... + 1392783120.

Almost surely, 2^527864730849 is an apocalyptic number.

527864730849 is the 726543-rd square number.

527864730849 is the 363272-nd centered octagonal number.

It is an amenable number.

527864730849 is a deficient number, since it is larger than the sum of its proper divisors (276997923840).

527864730849 is an frugal number, since it uses more digits than its factorization.

527864730849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 527864730849 in words is "five hundred twenty-seven billion, eight hundred sixty-four million, seven hundred thirty thousand, eight hundred forty-nine".