1013512400 has 60 divisors (see below), whose sum is σ = 2442950412. Its totient is φ = 404075520.

The previous prime is 1013512397. The next prime is 1013512429. The reversal of 1013512400 is 42153101.

1013512400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 378069136 + 635443264 = 19444^2 + 25208^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122804 + ... + 130796.

Almost surely, 2^1013512400 is an apocalyptic number.

1013512400 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 1013512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221475206).

1013512400 is an abundant number, since it is smaller than the sum of its proper divisors (1429438012).

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

1013512400 is a wasteful number, since it uses less digits than its factorization.

1013512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8328 (or 8317 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1013512400 is about 31835.7095099198. The cubic root of 1013512400 is about 1004.4839970517.

Adding to 1013512400 its reverse (42153101), we get a palindrome (1055665501).

The spelling of 1013512400 in words is "one billion, thirteen million, five hundred twelve thousand, four hundred".