1516213264 has 40 divisors (see below), whose sum is σ = 3044448000. Its totient is φ = 730644096.

The previous prime is 1516213261. The next prime is 1516213277. The reversal of 1516213264 is 4623126151.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1516213261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284577 + ... + 289855.

It is an arithmetic number, because the mean of its divisors is an integer number (76111200).

Almost surely, 2^1516213264 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 1516213264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522224000).

1516213264 is an abundant number, since it is smaller than the sum of its proper divisors (1528234736).

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

1516213264 is a wasteful number, since it uses less digits than its factorization.

1516213264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5935 (or 5929 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 1516213264 is about 38938.5832305183. The cubic root of 1516213264 is about 1148.8238167291.

The spelling of 1516213264 in words is "one billion, five hundred sixteen million, two hundred thirteen thousand, two hundred sixty-four".