5305140217521 has 63 divisors (see below), whose sum is σ = 8317179371739. Its totient is φ = 3382075862352.

The previous prime is 5305140217513. The next prime is 5305140217529. The reversal of 5305140217521 is 1257120415035.

The square root of 5305140217521 is 2303289.

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

5305140217521 is a `hidden beast` number, since 5 + 30 + 51 + 40 + 2 + 17 + 521 = 666.

It is an interprime number because it is at equal distance from previous prime (5305140217513) and next prime (5305140217529).

It can be written as a sum of positive squares in only one way, i.e., 1405384169121 + 3899756048400 = 1185489^2 + 1974780^2 .

It is not a de Polignac number, because 5305140217521 - 2³ = 5305140217513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5305140217529) 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, 1430340615 + ... + 1430344323.

Almost surely, 2^{5305140217521} is an apocalyptic number.

5305140217521 is the 2303289-th square number.

5305140217521 is the 1151645-th centered octagonal number.

It is an amenable number.

5305140217521 is a deficient number, since it is larger than the sum of its proper divisors (3012039154218).

5305140217521 is an frugal number, since it uses more digits than its factorization.

5305140217521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7482 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

Multiplying 5305140217521 by its sum of digits (36), we get a square (190985047830756 = 13819734²).

The spelling of 5305140217521 in words is "five trillion, three hundred five billion, one hundred forty million, two hundred seventeen thousand, five hundred twenty-one".