1253552340 has 96 divisors (see below), whose sum is σ = 3629324160. Its totient is φ = 323076096.

The previous prime is 1253552323. The next prime is 1253552351. The reversal of 1253552340 is 432553521.

1253552340 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1253552298 and 1253552307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247756 + ... + 252764.

It is an arithmetic number, because the mean of its divisors is an integer number (37805460).

Almost surely, 2^1253552340 is an apocalyptic number.

1253552340 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 1253552340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814662080).

1253552340 is an abundant number, since it is smaller than the sum of its proper divisors (2375771820).

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

1253552340 is a wasteful number, since it uses less digits than its factorization.

1253552340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5161 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 1253552340 is about 35405.5410917557. The cubic root of 1253552340 is about 1078.2368178248.

The spelling of 1253552340 in words is "one billion, two hundred fifty-three million, five hundred fifty-two thousand, three hundred forty".