61221536133504 has 256 divisors, whose sum is σ = 171415345167360. Its totient is φ = 19321555968000.

The previous prime is 61221536133497. The next prime is 61221536133521. The reversal of 61221536133504 is 40533163512216.

It is a happy number.

It is a super-2 number, since 2×61221536133504² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4844619474 + ... + 4844632110.

It is an arithmetic number, because the mean of its divisors is an integer number (669591192060).

Almost surely, 2^{61221536133504} is an apocalyptic number.

61221536133504 is a gapful number since it is divisible by the number (64) 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 61221536133504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85707672583680).

61221536133504 is an abundant number, since it is smaller than the sum of its proper divisors (110193809033856).

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

61221536133504 is a wasteful number, since it uses less digits than its factorization.

61221536133504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18209 (or 18197 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 61221536133504 in words is "sixty-one trillion, two hundred twenty-one billion, five hundred thirty-six million, one hundred thirty-three thousand, five hundred four".