275385006 has 96 divisors (see below), whose sum is σ = 699124608. Its totient is φ = 77552640.

The previous prime is 275384999. The next prime is 275385013. The reversal of 275385006 is 600583572.

275385006 is a `hidden beast` number, since 275 + 385 + 0 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (275384999) and next prime (275385013).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146251 + ... + 148121.

It is an arithmetic number, because the mean of its divisors is an integer number (7282548).

Almost surely, 2^275385006 is an apocalyptic number.

275385006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 275385006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349562304).

275385006 is an abundant number, since it is smaller than the sum of its proper divisors (423739602).

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

275385006 is a wasteful number, since it uses less digits than its factorization.

275385006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 275385006 is about 16594.7282592997. The cubic root of 275385006 is about 650.5990579784.

The spelling of 275385006 in words is "two hundred seventy-five million, three hundred eighty-five thousand, six".