1012533200 has 120 divisors (see below), whose sum is σ = 2832997248. Its totient is φ = 340554240.

The previous prime is 1012533167. The next prime is 1012533217. The reversal of 1012533200 is 23352101.

It is a super-2 number, since 2×1012533200² = 2050446962204480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144989 + ... + 151811.

Almost surely, 2^1012533200 is an apocalyptic number.

1012533200 is a gapful number since it is divisible by the number (10) 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 1012533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416498624).

1012533200 is an abundant number, since it is smaller than the sum of its proper divisors (1820464048).

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

1012533200 is a wasteful number, since it uses less digits than its factorization.

1012533200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6901 (or 6890 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1012533200 is about 31820.3268367878. The cubic root of 1012533200 is about 1004.1604003978.

Adding to 1012533200 its reverse (23352101), we get a palindrome (1035885301).

The spelling of 1012533200 in words is "one billion, twelve million, five hundred thirty-three thousand, two hundred".