1353871540 has 48 divisors (see below), whose sum is σ = 3390573312. Its totient is φ = 444001536.

The previous prime is 1353871529. The next prime is 1353871549. The reversal of 1353871540 is 451783531.

It is a self number, because there is not a number n which added to its sum of digits gives 1353871540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353871549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207009 + ... + 213448.

It is an arithmetic number, because the mean of its divisors is an integer number (70636944).

Almost surely, 2^1353871540 is an apocalyptic number.

1353871540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353871540 is an abundant number, since it is smaller than the sum of its proper divisors (2036701772).

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

1353871540 is a wasteful number, since it uses less digits than its factorization.

1353871540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420496 (or 420494 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 1353871540 is about 36794.9934094300. The cubic root of 1353871540 is about 1106.2649505252.

It can be divided in two parts, 13538 and 71540, that added together give a triangular number (85078 = T₄₁₂).

The spelling of 1353871540 in words is "one billion, three hundred fifty-three million, eight hundred seventy-one thousand, five hundred forty".