1516303152 has 600 divisors, whose sum is σ = 5798985984. Its totient is φ = 373621248.

The previous prime is 1516303141. The next prime is 1516303157. The reversal of 1516303152 is 2513036151.

1516303152 is a `hidden beast` number, since 15 + 1 + 630 + 3 + 15 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1516303157) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 35262843 + ... + 35262885.

Almost surely, 2^1516303152 is an apocalyptic number.

1516303152 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 1516303152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899492992).

1516303152 is an abundant number, since it is smaller than the sum of its proper divisors (4282682832).

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

1516303152 is a wasteful number, since it uses less digits than its factorization.

1516303152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1516303152 is about 38939.7374413336. The cubic root of 1516303152 is about 1148.8465187762.

The spelling of 1516303152 in words is "one billion, five hundred sixteen million, three hundred three thousand, one hundred fifty-two".