1527540216 has 64 divisors (see below), whose sum is σ = 3990193920. Its totient is φ = 486393600.

The previous prime is 1527540199. The next prime is 1527540241. The reversal of 1527540216 is 6120457251.

1527540216 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1527540216³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578836 + ... + 581468.

It is an arithmetic number, because the mean of its divisors is an integer number (62346780).

Almost surely, 2^1527540216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1527540216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995096960).

1527540216 is an abundant number, since it is smaller than the sum of its proper divisors (2462653704).

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

1527540216 is a wasteful number, since it uses less digits than its factorization.

1527540216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3716 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 1527540216 is about 39083.7589799139. The cubic root of 1527540216 is about 1151.6775054555.

Adding to 1527540216 its reverse (6120457251), we get a palindrome (7647997467).

The spelling of 1527540216 in words is "one billion, five hundred twenty-seven million, five hundred forty thousand, two hundred sixteen".