1352520540 has 216 divisors, whose sum is σ = 4828889520. Its totient is φ = 305496576.

The previous prime is 1352520517. The next prime is 1352520541. The reversal of 1352520540 is 450252531.

It is a happy number.

1352520540 is a `hidden beast` number, since 135 + 2 + 520 + 5 + 4 + 0 = 666.

It is a super-2 number, since 2×1352520540² = 3658623622243783200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352520541) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 784119 + ... + 785841.

It is an arithmetic number, because the mean of its divisors is an integer number (22355970).

Almost surely, 2^1352520540 is an apocalyptic number.

1352520540 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 1352520540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414444760).

1352520540 is an abundant number, since it is smaller than the sum of its proper divisors (3476368980).

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

1352520540 is a wasteful number, since it uses less digits than its factorization.

1352520540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1352520540 is about 36776.6303513522. The cubic root of 1352520540 is about 1105.8968551998.

The spelling of 1352520540 in words is "one billion, three hundred fifty-two million, five hundred twenty thousand, five hundred forty".