261527532000 has 768 divisors, whose sum is σ = 1026514944000. Its totient is φ = 56947968000.

The previous prime is 261527531999. The next prime is 261527532001. The reversal of 261527532000 is 235725162.

It is an interprime number because it is at equal distance from previous prime (261527531999) and next prime (261527532001).

It is a super-2 number, since 2×261527532000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261527532001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 174467251 + ... + 174468749.

It is an arithmetic number, because the mean of its divisors is an integer number (1336608000).

Almost surely, 2^261527532000 is an apocalyptic number.

261527532000 is a gapful number since it is divisible by the number (20) 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 261527532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513257472000).

261527532000 is an abundant number, since it is smaller than the sum of its proper divisors (764987412000).

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

261527532000 is a wasteful number, since it uses less digits than its factorization.

261527532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 261527532000 in words is "two hundred sixty-one billion, five hundred twenty-seven million, five hundred thirty-two thousand".