1516820352 has 64 divisors (see below), whose sum is σ = 4077682560. Its totient is φ = 499504640.

The previous prime is 1516820329. The next prime is 1516820411. The reversal of 1516820352 is 2530286151.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8077 + ... + 55667.

It is an arithmetic number, because the mean of its divisors is an integer number (63713790).

Almost surely, 2^1516820352 is an apocalyptic number.

1516820352 is a gapful number since it is divisible by the number (12) 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 1516820352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038841280).

1516820352 is an abundant number, since it is smaller than the sum of its proper divisors (2560862208).

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

1516820352 is an equidigital number, since it uses as much as digits as its factorization.

1516820352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47691 (or 47679 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 1516820352 is about 38946.3779060390. The cubic root of 1516820352 is about 1148.9771249975.

The spelling of 1516820352 in words is "one billion, five hundred sixteen million, eight hundred twenty thousand, three hundred fifty-two".