61613204520 has 128 divisors (see below), whose sum is σ = 211402218240. Its totient is φ = 14072555520.

The previous prime is 61613204509. The next prime is 61613204557. The reversal of 61613204520 is 2540231616.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1133484 + ... + 1186596.

It is an arithmetic number, because the mean of its divisors is an integer number (1651579830).

Almost surely, 2^61613204520 is an apocalyptic number.

61613204520 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 61613204520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105701109120).

61613204520 is an abundant number, since it is smaller than the sum of its proper divisors (149789013720).

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

61613204520 is a wasteful number, since it uses less digits than its factorization.

61613204520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54515 (or 54511 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 61613204520 in words is "sixty-one billion, six hundred thirteen million, two hundred four thousand, five hundred twenty".