61305407520 has 192 divisors, whose sum is σ = 221857284096. Its totient is φ = 13939153920.

The previous prime is 61305407509. The next prime is 61305407539. The reversal of 61305407520 is 2570450316.

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, 593997 + ... + 689523.

It is an arithmetic number, because the mean of its divisors is an integer number (1155506688).

Almost surely, 2^61305407520 is an apocalyptic number.

61305407520 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 61305407520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110928642048).

61305407520 is an abundant number, since it is smaller than the sum of its proper divisors (160551876576).

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

61305407520 is a wasteful number, since it uses less digits than its factorization.

61305407520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95743 (or 95735 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

Adding to 61305407520 its reverse (2570450316), we get a palindrome (63875857836).

The spelling of 61305407520 in words is "sixty-one billion, three hundred five million, four hundred seven thousand, five hundred twenty".