261213000 has 64 divisors (see below), whose sum is σ = 814993920. Its totient is φ = 69656000.

The previous prime is 261212999. The next prime is 261213011. The reversal of 261213000 is 312162.

261213000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40536 + ... + 46535.

It is an arithmetic number, because the mean of its divisors is an integer number (12734280).

Almost surely, 2^261213000 is an apocalyptic number.

261213000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261213000 is an abundant number, since it is smaller than the sum of its proper divisors (553780920).

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

261213000 is a wasteful number, since it uses less digits than its factorization.

261213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87095 (or 87081 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 261213000 is about 16162.0852615001. The cubic root of 261213000 is about 639.2414515598.

Adding to 261213000 its reverse (312162), we get a palindrome (261525162).

The spelling of 261213000 in words is "two hundred sixty-one million, two hundred thirteen thousand".