61135121200552 has 128 divisors (see below), whose sum is σ = 134749166112000. Its totient is φ = 25458398558208.

The previous prime is 61135121200547. The next prime is 61135121200639. The reversal of 61135121200552 is 25500212153116.

61135121200552 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 2×61135121200552² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356493324 + ... + 356664772.

It is an arithmetic number, because the mean of its divisors is an integer number (1052727860250).

Almost surely, 2^{61135121200552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61135121200552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67374583056000).

61135121200552 is an abundant number, since it is smaller than the sum of its proper divisors (73614044911448).

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

61135121200552 is a wasteful number, since it uses less digits than its factorization.

61135121200552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172275 (or 172271 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

Adding to 61135121200552 its reverse (25500212153116), we get a palindrome (86635333353668).

The spelling of 61135121200552 in words is "sixty-one trillion, one hundred thirty-five billion, one hundred twenty-one million, two hundred thousand, five hundred fifty-two".