265516000 has 96 divisors (see below), whose sum is σ = 668697120. Its totient is φ = 103552000.

The previous prime is 265515997. The next prime is 265516003. The reversal of 265516000 is 615562.

It is an interprime number because it is at equal distance from previous prime (265515997) and next prime (265516003).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (265516003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163191 + ... + 164809.

It is an arithmetic number, because the mean of its divisors is an integer number (6965595).

Almost surely, 2^265516000 is an apocalyptic number.

265516000 is a gapful number since it is divisible by the number (20) 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 265516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334348560).

265516000 is an abundant number, since it is smaller than the sum of its proper divisors (403181120).

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

265516000 is a wasteful number, since it uses less digits than its factorization.

265516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 265516000 is about 16294.6617025331. The cubic root of 265516000 is about 642.7324578877.

The spelling of 265516000 in words is "two hundred sixty-five million, five hundred sixteen thousand".