533561952 has 384 divisors, whose sum is σ = 1916006400. Its totient is φ = 125798400.

The previous prime is 533561927. The next prime is 533561993. The reversal of 533561952 is 259165335.

It is a super-3 number, since 3×533561952³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 533561952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4072927 + ... + 4073057.

It is an arithmetic number, because the mean of its divisors is an integer number (4989600).

Almost surely, 2^533561952 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 533561952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958003200).

533561952 is an abundant number, since it is smaller than the sum of its proper divisors (1382444448).

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

533561952 is a wasteful number, since it uses less digits than its factorization.

533561952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its digits is 121500, while the sum is 39.

The square root of 533561952 is about 23098.9599765877. The cubic root of 533561952 is about 811.0761249326.

The spelling of 533561952 in words is "five hundred thirty-three million, five hundred sixty-one thousand, nine hundred fifty-two".