1013241600 has 486 divisors, whose sum is σ = 4225745160. Its totient is φ = 230952960.

The previous prime is 1013241577. The next prime is 1013241613. The reversal of 1013241600 is 61423101.

It is a happy number.

1013241600 is a `hidden beast` number, since 10 + 13 + 2 + 41 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2822221 + ... + 2822579.

Almost surely, 2^1013241600 is an apocalyptic number.

1013241600 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 1013241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112872580).

1013241600 is an abundant number, since it is smaller than the sum of its proper divisors (3212503560).

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

1013241600 is a wasteful number, since it uses less digits than its factorization.

1013241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1013241600 is about 31831.4561401140. The cubic root of 1013241600 is about 1004.3945265145.

Adding to 1013241600 its reverse (61423101), we get a palindrome (1074664701).

The spelling of 1013241600 in words is "one billion, thirteen million, two hundred forty-one thousand, six hundred".