1013625360 has 320 divisors, whose sum is σ = 3915106560. Its totient is φ = 238878720.

The previous prime is 1013625331. The next prime is 1013625409. The reversal of 1013625360 is 635263101.

1013625360 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 625 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 878544 + ... + 879696.

It is an arithmetic number, because the mean of its divisors is an integer number (12234708).

Almost surely, 2^1013625360 is an apocalyptic number.

1013625360 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 1013625360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957553280).

1013625360 is an abundant number, since it is smaller than the sum of its proper divisors (2901481200).

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

1013625360 is a wasteful number, since it uses less digits than its factorization.

1013625360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1013625360 is about 31837.4835689004. The cubic root of 1013625360 is about 1004.5213135815.

Adding to 1013625360 its reverse (635263101), we get a palindrome (1648888461).

The spelling of 1013625360 in words is "one billion, thirteen million, six hundred twenty-five thousand, three hundred sixty".