1253813544 has 96 divisors (see below), whose sum is σ = 3467529000. Its totient is φ = 409190400.

The previous prime is 1253813537. The next prime is 1253813609. The reversal of 1253813544 is 4453183521.

It can be written as a sum of positive squares in 4 ways, for example, as 1199791044 + 54022500 = 34638^2 + 7350^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1253813499 and 1253813508.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 782344 + ... + 783944.

Almost surely, 2^1253813544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253813544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733764500).

1253813544 is an abundant number, since it is smaller than the sum of its proper divisors (2213715456).

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

1253813544 is a wasteful number, since it uses less digits than its factorization.

1253813544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1828 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 1253813544 is about 35409.2296442608. The cubic root of 1253813544 is about 1078.3117037313.

The spelling of 1253813544 in words is "one billion, two hundred fifty-three million, eight hundred thirteen thousand, five hundred forty-four".