527240088769 has 27 divisors (see below), whose sum is σ = 555586267491. Its totient is φ = 500320901520.

The previous prime is 527240088761. The next prime is 527240088787. The reversal of 527240088769 is 967880042725.

It is a happy number.

The square root of 527240088769 is 726113.

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

It can be written as a sum of positive squares in only one way, i.e., 353341080625 + 173899008144 = 594425^2 + 417012^2 .

It is not a de Polignac number, because 527240088769 - 2³ = 527240088761 is a prime.

It is a super-2 number, since 2×527240088769² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (527240088761) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1328060479 + ... + 1328060875.

Almost surely, 2^527240088769 is an apocalyptic number.

527240088769 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

527240088769 is the 726113-rd square number.

527240088769 is the 363057-th centered octagonal number.

It is an amenable number.

527240088769 is a deficient number, since it is larger than the sum of its proper divisors (28346178722).

527240088769 is an frugal number, since it uses more digits than its factorization.

527240088769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 58.

The spelling of 527240088769 in words is "five hundred twenty-seven billion, two hundred forty million, eighty-eight thousand, seven hundred sixty-nine".