61295501952 has 384 divisors, whose sum is σ = 195037839360. Its totient is φ = 19117181952.

The previous prime is 61295501941. The next prime is 61295501987. The reversal of 61295501952 is 25910559216.

61295501952 is a `hidden beast` number, since 6 + 1 + 2 + 9 + 550 + 1 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 61295501898 and 61295501907.

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, 33622513 + ... + 33624335.

It is an arithmetic number, because the mean of its divisors is an integer number (507911040).

Almost surely, 2^61295501952 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 61295501952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97518919680).

61295501952 is an abundant number, since it is smaller than the sum of its proper divisors (133742337408).

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

61295501952 is a wasteful number, since it uses less digits than its factorization.

61295501952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 61295501952 in words is "sixty-one billion, two hundred ninety-five million, five hundred one thousand, nine hundred fifty-two".