261632633130 has 192 divisors, whose sum is σ = 786775586688. Its totient is φ = 59616276480.

The previous prime is 261632633089. The next prime is 261632633137. The reversal of 261632633130 is 31336236162.

261632633130 is a `hidden beast` number, since 2 + 6 + 1 + 6 + 3 + 2 + 633 + 13 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (261632633137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13235334 + ... + 13255086.

It is an arithmetic number, because the mean of its divisors is an integer number (4097789514).

Almost surely, 2^261632633130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261632633130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393387793344).

261632633130 is an abundant number, since it is smaller than the sum of its proper divisors (525142953558).

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

261632633130 is a wasteful number, since it uses less digits than its factorization.

261632633130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20581 (or 20578 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

Adding to 261632633130 its reverse (31336236162), we get a palindrome (292968869292).

The spelling of 261632633130 in words is "two hundred sixty-one billion, six hundred thirty-two million, six hundred thirty-three thousand, one hundred thirty".