1516610052 has 72 divisors (see below), whose sum is σ = 4135838616. Its totient is φ = 466811904.

The previous prime is 1516610047. The next prime is 1516610089. The reversal of 1516610052 is 2500166151.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 935992836 + 580617216 = 30594^2 + 24096^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1516609998 and 1516610025.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9058 + ... + 55814.

It is an arithmetic number, because the mean of its divisors is an integer number (57442203).

Almost surely, 2^1516610052 is an apocalyptic number.

1516610052 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 1516610052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067919308).

1516610052 is an abundant number, since it is smaller than the sum of its proper divisors (2619228564).

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

1516610052 is a wasteful number, since it uses less digits than its factorization.

1516610052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46837 (or 46832 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1516610052 is about 38943.6779464909. The cubic root of 1516610052 is about 1148.9240224537.

The spelling of 1516610052 in words is "one billion, five hundred sixteen million, six hundred ten thousand, fifty-two".