1516542258 has 128 divisors (see below), whose sum is σ = 3984998400. Its totient is φ = 381024000.

The previous prime is 1516542241. The next prime is 1516542259. The reversal of 1516542258 is 8522456151.

It is not an unprimeable number, because it can be changed into a prime (1516542259) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 700698 + ... + 702858.

It is an arithmetic number, because the mean of its divisors is an integer number (31132800).

Almost surely, 2^1516542258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1516542258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992499200).

1516542258 is an abundant number, since it is smaller than the sum of its proper divisors (2468456142).

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

1516542258 is a wasteful number, since it uses less digits than its factorization.

1516542258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2215 counting only the distinct ones).

The product of its digits is 96000, while the sum is 39.

The square root of 1516542258 is about 38942.8075259091. The cubic root of 1516542258 is about 1148.9069028442.

The spelling of 1516542258 in words is "one billion, five hundred sixteen million, five hundred forty-two thousand, two hundred fifty-eight".