1013152400 has 240 divisors, whose sum is σ = 2831475024. Its totient is φ = 345047040.

The previous prime is 1013152373. The next prime is 1013152403. The reversal of 1013152400 is 42513101.

1013152400 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 24 ways, for example, as 760215184 + 252937216 = 27572^2 + 15904^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013152403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6453122 + ... + 6453278.

Almost surely, 2^1013152400 is an apocalyptic number.

1013152400 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 1013152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415737512).

1013152400 is an abundant number, since it is smaller than the sum of its proper divisors (1818322624).

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

1013152400 is a wasteful number, since it uses less digits than its factorization.

1013152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 267 counting only the distinct ones).

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

The square root of 1013152400 is about 31830.0549795315. The cubic root of 1013152400 is about 1004.3650519315.

Adding to 1013152400 its reverse (42513101), we get a palindrome (1055665501).

The spelling of 1013152400 in words is "one billion, thirteen million, one hundred fifty-two thousand, four hundred".