1253115360 has 480 divisors, whose sum is σ = 5327562240. Its totient is φ = 270978048.

The previous prime is 1253115359. The next prime is 1253115389. The reversal of 1253115360 is 635113521.

1253115360 is a `hidden beast` number, since 125 + 3 + 1 + 1 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1723317 + ... + 1724043.

It is an arithmetic number, because the mean of its divisors is an integer number (11099088).

Almost surely, 2^1253115360 is an apocalyptic number.

1253115360 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 1253115360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663781120).

1253115360 is an abundant number, since it is smaller than the sum of its proper divisors (4074446880).

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

1253115360 is a wasteful number, since it uses less digits than its factorization.

1253115360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1253115360 is about 35399.3694859103. The cubic root of 1253115360 is about 1078.1115145383. Note that the first 3 decimals are identical.

Adding to 1253115360 its reverse (635113521), we get a palindrome (1888228881).

The spelling of 1253115360 in words is "one billion, two hundred fifty-three million, one hundred fifteen thousand, three hundred sixty".