535200534 has 80 divisors (see below), whose sum is σ = 1314902160. Its totient is φ = 161360640.

The previous prime is 535200487. The next prime is 535200541. The reversal of 535200534 is 435002535.

It is a super-2 number, since 2×535200534² = 572879223187770312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 535200498 and 535200507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 414562 + ... + 415850.

It is an arithmetic number, because the mean of its divisors is an integer number (16436277).

Almost surely, 2^535200534 is an apocalyptic number.

535200534 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 535200534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657451080).

535200534 is an abundant number, since it is smaller than the sum of its proper divisors (779701626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

535200534 is a wasteful number, since it uses less digits than its factorization.

535200534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 535200534 is about 23134.4015267307. The cubic root of 535200534 is about 811.9055547493.

The spelling of 535200534 in words is "five hundred thirty-five million, two hundred thousand, five hundred thirty-four".