1253160000 has 315 divisors, whose sum is σ = 4565875171. Its totient is φ = 328512000.

The previous prime is 1253159987. The next prime is 1253160031. The reversal of 1253160000 is 613521.

The square root of 1253160000 is 35400.

It is a perfect power (a square), and thus also a powerful number.

1253160000 is a `hidden beast` number, since 12 + 53 + 1 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98247744 + 1154912256 = 9912^2 + 33984^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21239971 + ... + 21240029.

Almost surely, 2^1253160000 is an apocalyptic number.

1253160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1253160000 is the 35400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253160000

1253160000 is an abundant number, since it is smaller than the sum of its proper divisors (3312715171).

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

1253160000 is an frugal number, since it uses more digits than its factorization.

1253160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The cubic root of 1253160000 is about 1078.1243163197.

Adding to 1253160000 its reverse (613521), we get a palindrome (1253773521).

The spelling of 1253160000 in words is "one billion, two hundred fifty-three million, one hundred sixty thousand".