61506101225220 has 96 divisors (see below), whose sum is σ = 189162929249280. Its totient is φ = 14862801571200.

The previous prime is 61506101225213. The next prime is 61506101225273. The reversal of 61506101225220 is 2252210160516.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1172859006 + ... + 1172911445.

It is an arithmetic number, because the mean of its divisors is an integer number (1970447179680).

Almost surely, 2^{61506101225220} is an apocalyptic number.

61506101225220 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61506101225220 is an abundant number, since it is smaller than the sum of its proper divisors (127656828024060).

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

61506101225220 is a wasteful number, since it uses less digits than its factorization.

61506101225220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345770505 (or 2345770503 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 61506101225220 its reverse (2252210160516), we get a palindrome (63758311385736).

The spelling of 61506101225220 in words is "sixty-one trillion, five hundred six billion, one hundred one million, two hundred twenty-five thousand, two hundred twenty".