61533114060 has 192 divisors, whose sum is σ = 194866850304. Its totient is φ = 14377420800.

The previous prime is 61533114059. The next prime is 61533114067. The reversal of 61533114060 is 6041133516.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (61533114067) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2232282 + ... + 2259678.

It is an arithmetic number, because the mean of its divisors is an integer number (1014931512).

Almost surely, 2^61533114060 is an apocalyptic number.

61533114060 is a gapful number since it is divisible by the number (60) 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 61533114060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97433425152).

61533114060 is an abundant number, since it is smaller than the sum of its proper divisors (133333736244).

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

61533114060 is a wasteful number, since it uses less digits than its factorization.

61533114060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27544 (or 27542 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 61533114060 its reverse (6041133516), we get a palindrome (67574247576).

It can be divided in two parts, 6153 and 3114060, that added together give a palindrome (3120213).

The spelling of 61533114060 in words is "sixty-one billion, five hundred thirty-three million, one hundred fourteen thousand, sixty".