1253540000 has 120 divisors (see below), whose sum is σ = 3108645540. Its totient is φ = 497408000.

The previous prime is 1253539921. The next prime is 1253540011. The reversal of 1253540000 is 453521.

It can be written as a sum of positive squares in 10 ways, for example, as 527345296 + 726194704 = 22964^2 + 26948^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4659866 + ... + 4660134.

Almost surely, 2^1253540000 is an apocalyptic number.

1253540000 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 1253540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554322770).

1253540000 is an abundant number, since it is smaller than the sum of its proper divisors (1855105540).

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

1253540000 is an equidigital number, since it uses as much as digits as its factorization.

1253540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 1253540000 is about 35405.3668248191. The cubic root of 1253540000 is about 1078.2332797500.

Adding to 1253540000 its reverse (453521), we get a palindrome (1253993521).

The spelling of 1253540000 in words is "one billion, two hundred fifty-three million, five hundred forty thousand".