261265212417572 has 24 divisors (see below), whose sum is σ = 528118985530080. Its totient is φ = 111771213868160.

The previous prime is 261265212417553. The next prime is 261265212417577. The reversal of 261265212417572 is 275714212562162.

261265212417572 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×261265212417572² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (261265212417577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174642520922 + ... + 174642522417.

It is an arithmetic number, because the mean of its divisors is an integer number (22004957730420).

Almost surely, 2^{261265212417572} is an apocalyptic number.

261265212417572 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

261265212417572 is an abundant number, since it is smaller than the sum of its proper divisors (266853773112508).

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

261265212417572 is a wasteful number, since it uses less digits than its factorization.

261265212417572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349285043371 (or 349285043369 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 53.

The spelling of 261265212417572 in words is "two hundred sixty-one trillion, two hundred sixty-five billion, two hundred twelve million, four hundred seventeen thousand, five hundred seventy-two".