61252579296 has 192 divisors, whose sum is σ = 183530188800. Its totient is φ = 19865323008.

The previous prime is 61252579291. The next prime is 61252579301. The reversal of 61252579296 is 69297525216.

61252579296 is a `hidden beast` number, since 6 + 12 + 52 + 579 + 2 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (61252579291) and next prime (61252579301).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61252579291) by changing a digit.

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, 7020825 + ... + 7029543.

It is an arithmetic number, because the mean of its divisors is an integer number (955886400).

Almost surely, 2^61252579296 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 61252579296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91765094400).

61252579296 is an abundant number, since it is smaller than the sum of its proper divisors (122277609504).

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

61252579296 is a wasteful number, since it uses less digits than its factorization.

61252579296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8958 (or 8944 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 61252579296 in words is "sixty-one billion, two hundred fifty-two million, five hundred seventy-nine thousand, two hundred ninety-six".