1353121540 has 48 divisors (see below), whose sum is σ = 2908249344. Its totient is φ = 528595200.

The previous prime is 1353121507. The next prime is 1353121541. The reversal of 1353121540 is 451213531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1353121541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535480 + ... + 538000.

It is an arithmetic number, because the mean of its divisors is an integer number (60588528).

Almost surely, 2^1353121540 is an apocalyptic number.

1353121540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353121540 is an abundant number, since it is smaller than the sum of its proper divisors (1555127804).

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

1353121540 is a wasteful number, since it uses less digits than its factorization.

1353121540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 1353121540 is about 36784.8003936408. The cubic root of 1353121540 is about 1106.0606347428.

The spelling of 1353121540 in words is "one billion, three hundred fifty-three million, one hundred twenty-one thousand, five hundred forty".