61001715552 has 96 divisors (see below), whose sum is σ = 168622675200. Its totient is φ = 19256237568.

The previous prime is 61001715529. The next prime is 61001715559. The reversal of 61001715552 is 25551710016.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61001715559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6486918 + ... + 6496314.

It is an arithmetic number, because the mean of its divisors is an integer number (1756486200).

Almost surely, 2^61001715552 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 61001715552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84311337600).

61001715552 is an abundant number, since it is smaller than the sum of its proper divisors (107620959648).

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

61001715552 is a wasteful number, since it uses less digits than its factorization.

61001715552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12988 (or 12980 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 33.

The spelling of 61001715552 in words is "sixty-one billion, one million, seven hundred fifteen thousand, five hundred fifty-two".