535829953 has 16 divisors (see below), whose sum is σ = 573875280. Its totient is φ = 498548736.

The previous prime is 535829809. The next prime is 535829969. The reversal of 535829953 is 359928535.

It can be written as a sum of positive squares in 8 ways, for example, as 70694464 + 465135489 = 8408^2 + 21567^2 .

It is a cyclic number.

It is not a de Polignac number, because 535829953 - 2¹⁷ = 535698881 is a prime.

It is a super-2 number, since 2×535829953² = 574227477063964418, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 535829897 and 535829906.

It is not an unprimeable number, because it can be changed into a prime (535821953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645943 + ... + 646771.

It is an arithmetic number, because the mean of its divisors is an integer number (35867205).

Almost surely, 2^535829953 is an apocalyptic number.

It is an amenable number.

535829953 is a deficient number, since it is larger than the sum of its proper divisors (38045327).

535829953 is a wasteful number, since it uses less digits than its factorization.

535829953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236.

The product of its digits is 1458000, while the sum is 49.

The square root of 535829953 is about 23148.0010584067. The cubic root of 535829953 is about 812.2237087558.

Subtracting from 535829953 its sum of digits (49), we obtain a square (535829904 = 23148²).

The spelling of 535829953 in words is "five hundred thirty-five million, eight hundred twenty-nine thousand, nine hundred fifty-three".