1353252540 has 96 divisors (see below), whose sum is σ = 3864236544. Its totient is φ = 353785600.

The previous prime is 1353252499. The next prime is 1353252553. The reversal of 1353252540 is 452523531.

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 = 1353252498 and 1353252507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647377 + ... + 649463.

It is an arithmetic number, because the mean of its divisors is an integer number (40252464).

Almost surely, 2^1353252540 is an apocalyptic number.

1353252540 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 1353252540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932118272).

1353252540 is an abundant number, since it is smaller than the sum of its proper divisors (2510984004).

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

1353252540 is a wasteful number, since it uses less digits than its factorization.

1353252540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2305 counting only the distinct ones).

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

The square root of 1353252540 is about 36786.5809773075. The cubic root of 1353252540 is about 1106.0963273404.

The spelling of 1353252540 in words is "one billion, three hundred fifty-three million, two hundred fifty-two thousand, five hundred forty".