1055002560 has 112 divisors (see below), whose sum is σ = 3357347616. Its totient is φ = 280686592.

The previous prime is 1055002537. The next prime is 1055002567. The reversal of 1055002560 is 652005501.

1055002560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1055002560² = 2226060803213107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1055002560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055002567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533734 + ... + 535706.

It is an arithmetic number, because the mean of its divisors is an integer number (29976318).

Almost surely, 2^1055002560 is an apocalyptic number.

1055002560 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 1055002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678673808).

1055002560 is an abundant number, since it is smaller than the sum of its proper divisors (2302345056).

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

1055002560 is a wasteful number, since it uses less digits than its factorization.

1055002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 1055002560 is about 32480.8029457401. The cubic root of 1055002560 is about 1018.0079536923.

The spelling of 1055002560 in words is "one billion, fifty-five million, two thousand, five hundred sixty".