531993000 has 512 divisors, whose sum is σ = 2156544000. Its totient is φ = 108192000.

The previous prime is 531992983. The next prime is 531993041. The reversal of 531993000 is 399135.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11318977 + ... + 11319023.

It is an arithmetic number, because the mean of its divisors is an integer number (4212000).

Almost surely, 2^531993000 is an apocalyptic number.

531993000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531993000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078272000).

531993000 is an abundant number, since it is smaller than the sum of its proper divisors (1624551000).

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

531993000 is a wasteful number, since it uses less digits than its factorization.

531993000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3645, while the sum is 30.

The square root of 531993000 is about 23064.9734445978. The cubic root of 531993000 is about 810.2803480120.

The spelling of 531993000 in words is "five hundred thirty-one million, nine hundred ninety-three thousand".