1352871520 has 192 divisors, whose sum is σ = 4291854336. Its totient is φ = 389191680.

The previous prime is 1352871517. The next prime is 1352871599. The reversal of 1352871520 is 251782531.

It is a super-2 number, since 2×1352871520² = 3660522699254220800, which contains 22 as substring.

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, 155937 + ... + 164383.

It is an arithmetic number, because the mean of its divisors is an integer number (22353408).

Almost surely, 2^1352871520 is an apocalyptic number.

1352871520 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 1352871520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145927168).

1352871520 is an abundant number, since it is smaller than the sum of its proper divisors (2938982816).

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

1352871520 is a wasteful number, since it uses less digits than its factorization.

1352871520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8493 (or 8485 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 1352871520 is about 36781.4018221166. The cubic root of 1352871520 is about 1105.9925072550.

The spelling of 1352871520 in words is "one billion, three hundred fifty-two million, eight hundred seventy-one thousand, five hundred twenty".