261571033152 has 672 divisors, whose sum is σ = 899271434880. Its totient is φ = 71654768640.

The previous prime is 261571033151. The next prime is 261571033201. The reversal of 261571033152 is 251330175162.

261571033152 is a `hidden beast` number, since 2 + 6 + 1 + 571 + 0 + 3 + 31 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (261571033151) 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, 1461290599 + ... + 1461290777.

It is an arithmetic number, because the mean of its divisors is an integer number (1338201540).

Almost surely, 2^261571033152 is an apocalyptic number.

261571033152 is a gapful number since it is divisible by the number (22) 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 261571033152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449635717440).

261571033152 is an abundant number, since it is smaller than the sum of its proper divisors (637700401728).

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

261571033152 is a wasteful number, since it uses less digits than its factorization.

261571033152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 261571033152 in words is "two hundred sixty-one billion, five hundred seventy-one million, thirty-three thousand, one hundred fifty-two".