1016255520 has 288 divisors, whose sum is σ = 4061715840. Its totient is φ = 226529280.

The previous prime is 1016255509. The next prime is 1016255521. The reversal of 1016255520 is 255526101.

1016255520 is a `hidden beast` number, since 10 + 1 + 625 + 5 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1016255521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412051 + ... + 414509.

It is an arithmetic number, because the mean of its divisors is an integer number (14103180).

Almost surely, 2^1016255520 is an apocalyptic number.

1016255520 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 1016255520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030857920).

1016255520 is an abundant number, since it is smaller than the sum of its proper divisors (3045460320).

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

1016255520 is a wasteful number, since it uses less digits than its factorization.

1016255520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1016255520 is about 31878.7628367225. The cubic root of 1016255520 is about 1005.3894087601.

The spelling of 1016255520 in words is "one billion, sixteen million, two hundred fifty-five thousand, five hundred twenty".