56001000 has 128 divisors (see below), whose sum is σ = 190719360. Its totient is φ = 13568000.

The previous prime is 56000969. The next prime is 56001041. The reversal of 56001000 is 10065.

It is a super-2 number, since 2×56001000² = 6272224002000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32152 + ... + 33848.

It is an arithmetic number, because the mean of its divisors is an integer number (1489995).

Almost surely, 2^56001000 is an apocalyptic number.

56001000 is a gapful number since it is divisible by the number (50) 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 56001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95359680).

56001000 is an abundant number, since it is smaller than the sum of its proper divisors (134718360).

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

56001000 is a wasteful number, since it uses less digits than its factorization.

56001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 56001000 is about 7483.3815885601. The cubic root of 56001000 is about 382.5885138399.

Adding to 56001000 its reverse (10065), we get a palindrome (56011065).

The spelling of 56001000 in words is "fifty-six million, one thousand".