10535522747409 has 81 divisors (see below), whose sum is σ = 17152279138267. Its totient is φ = 6226832884800.

The previous prime is 10535522747401. The next prime is 10535522747471. The reversal of 10535522747409 is 90474722553501.

The square root of 10535522747409 is 3245847.

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

10535522747409 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 5 + 5 + 227 + 4 + 7 + 409 = 666.

It can be written as a sum of positive squares in only one way, i.e., 507660525009 + 10027862222400 = 712503^2 + 3166680^2 .

It is not a de Polignac number, because 10535522747409 - 2³ = 10535522747401 is a prime.

It is a super-2 number, since 2×10535522747409² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10535522747401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4391629792 + ... + 4391632190.

Almost surely, 2^{10535522747409} is an apocalyptic number.

10535522747409 is the 3245847-th square number.

10535522747409 is the 1622924-th centered octagonal number.

It is an amenable number.

10535522747409 is a deficient number, since it is larger than the sum of its proper divisors (6616756390858).

10535522747409 is an frugal number, since it uses more digits than its factorization.

10535522747409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4908 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 10535522747409 in words is "ten trillion, five hundred thirty-five billion, five hundred twenty-two million, seven hundred forty-seven thousand, four hundred nine".