261012150 has 288 divisors, whose sum is σ = 857945088. Its totient is φ = 55641600.

The previous prime is 261012137. The next prime is 261012161. The reversal of 261012150 is 51210162.

261012150 is a `hidden beast` number, since 2 + 610 + 1 + 2 + 1 + 50 = 666.

It is a super-3 number, since 3×261012150³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 143 ways as a sum of consecutive naturals, for example, 5553427 + ... + 5553473.

It is an arithmetic number, because the mean of its divisors is an integer number (2978976).

Almost surely, 2^261012150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261012150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428972544).

261012150 is an abundant number, since it is smaller than the sum of its proper divisors (596932938).

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

261012150 is a wasteful number, since it uses less digits than its factorization.

261012150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 261012150 is about 16155.8704500872. The cubic root of 261012150 is about 639.0775692531.

It can be divided in two parts, 261012 and 150, that added together give a palindrome (261162).

The spelling of 261012150 in words is "two hundred sixty-one million, twelve thousand, one hundred fifty".