1253255120 has 80 divisors (see below), whose sum is σ = 3222866640. Its totient is φ = 450220032.

The previous prime is 1253255117. The next prime is 1253255137. The reversal of 1253255120 is 215523521.

It can be written as a sum of positive squares in 8 ways, for example, as 96983104 + 1156272016 = 9848^2 + 34004^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1253255120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22196 + ... + 54764.

It is an arithmetic number, because the mean of its divisors is an integer number (40285833).

Almost surely, 2^1253255120 is an apocalyptic number.

1253255120 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 1253255120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611433320).

1253255120 is an abundant number, since it is smaller than the sum of its proper divisors (1969611520).

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

1253255120 is a wasteful number, since it uses less digits than its factorization.

1253255120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32632 (or 32626 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 1253255120 is about 35401.3434773315. The cubic root of 1253255120 is about 1078.1515936533.

Adding to 1253255120 its reverse (215523521), we get a palindrome (1468778641).

The spelling of 1253255120 in words is "one billion, two hundred fifty-three million, two hundred fifty-five thousand, one hundred twenty".