61355759652 has 144 divisors (see below), whose sum is σ = 185841976320. Its totient is φ = 16848216000.

The previous prime is 61355759617. The next prime is 61355759687. The reversal of 61355759652 is 25695755316.

61355759652 is a `hidden beast` number, since 6 + 1 + 3 + 5 + 575 + 9 + 65 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (61355759617) and next prime (61355759687).

It is a super-2 number, since 2×61355759652² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4224 + ... + 350327.

It is an arithmetic number, because the mean of its divisors is an integer number (1290569280).

Almost surely, 2^61355759652 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 61355759652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92920988160).

61355759652 is an abundant number, since it is smaller than the sum of its proper divisors (124486216668).

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

61355759652 is a wasteful number, since it uses less digits than its factorization.

61355759652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354614 (or 354609 counting only the distinct ones).

The product of its digits is 8505000, while the sum is 54.

The spelling of 61355759652 in words is "sixty-one billion, three hundred fifty-five million, seven hundred fifty-nine thousand, six hundred fifty-two".