253360451540 has 72 divisors (see below), whose sum is σ = 619546563720. Its totient is φ = 86778978048.

The previous prime is 253360451503. The next prime is 253360451557. The reversal of 253360451540 is 45154063352.

It can be written as a sum of positive squares in 4 ways, for example, as 25369481284 + 227990970256 = 159278^2 + 477484^2 .

It is a junction number, because it is equal to n+sod(n) for n = 253360451494 and 253360451503.

It is a congruent number.

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, 847406 + ... + 1106714.

It is an arithmetic number, because the mean of its divisors is an integer number (8604813385).

Almost surely, 2^253360451540 is an apocalyptic number.

253360451540 is a gapful number since it is divisible by the number (20) 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 253360451540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309773281860).

253360451540 is an abundant number, since it is smaller than the sum of its proper divisors (366186112180).

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

253360451540 is a wasteful number, since it uses less digits than its factorization.

253360451540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260329 (or 260320 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

The spelling of 253360451540 in words is "two hundred fifty-three billion, three hundred sixty million, four hundred fifty-one thousand, five hundred forty".