61319200512 has 72 divisors (see below), whose sum is σ = 163606297680. Its totient is φ = 20388659200.

The previous prime is 61319200511. The next prime is 61319200513. The reversal of 61319200512 is 21500291316.

It is an interprime number because it is at equal distance from previous prime (61319200511) and next prime (61319200513).

It is a super-2 number, since 2×61319200512² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61319200512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61319200511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208414 + ... + 407522.

It is an arithmetic number, because the mean of its divisors is an integer number (2272309690).

Almost surely, 2^61319200512 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 61319200512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81803148840).

61319200512 is an abundant number, since it is smaller than the sum of its proper divisors (102287097168).

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

61319200512 is a wasteful number, since it uses less digits than its factorization.

61319200512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199529 (or 199515 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

Adding to 61319200512 its reverse (21500291316), we get a palindrome (82819491828).

The spelling of 61319200512 in words is "sixty-one billion, three hundred nineteen million, two hundred thousand, five hundred twelve".