535317552 has 480 divisors, whose sum is σ = 2069510400. Its totient is φ = 131725440.

The previous prime is 535317551. The next prime is 535317553. The reversal of 535317552 is 255713535.

535317552 is a `hidden beast` number, since 5 + 3 + 531 + 75 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (535317551) and next prime (535317553).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (78750) is a multiple of the sum of its prime divisors (42).

It is not an unprimeable number, because it can be changed into a prime (535317551) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28174599 + ... + 28174617.

It is an arithmetic number, because the mean of its divisors is an integer number (4311480).

Almost surely, 2^535317552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535317552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034755200).

535317552 is an abundant number, since it is smaller than the sum of its proper divisors (1534192848).

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

535317552 is a wasteful number, since it uses less digits than its factorization.

535317552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 42 counting only the distinct ones).

The product of its digits is 78750, while the sum is 36.

The square root of 535317552 is about 23136.9304792144. The cubic root of 535317552 is about 811.9647230017.

The spelling of 535317552 in words is "five hundred thirty-five million, three hundred seventeen thousand, five hundred fifty-two".