1516315020 has 288 divisors, whose sum is σ = 5003437824. Its totient is φ = 340032000.

The previous prime is 1516314991. The next prime is 1516315067. The reversal of 1516315020 is 205136151.

It is a super-2 number, since 2×1516315020² = 4598422479755200800, 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 95 ways as a sum of consecutive naturals, for example, 15012970 + ... + 15013070.

It is an arithmetic number, because the mean of its divisors is an integer number (17373048).

Almost surely, 2^1516315020 is an apocalyptic number.

1516315020 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 1516315020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501718912).

1516315020 is an abundant number, since it is smaller than the sum of its proper divisors (3487122804).

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

1516315020 is a wasteful number, since it uses less digits than its factorization.

1516315020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1516315020 is about 38939.8898303526. The cubic root of 1516315020 is about 1148.8495160824.

It can be divided in two parts, 151631 and 5020, that added together give a palindrome (156651).

The spelling of 1516315020 in words is "one billion, five hundred sixteen million, three hundred fifteen thousand, twenty".