61255458306 has 320 divisors, whose sum is σ = 169277644800. Its totient is φ = 16523105760.

The previous prime is 61255458167. The next prime is 61255458343. The reversal of 61255458306 is 60385455216.

61255458306 is a `hidden beast` number, since 6 + 1 + 25 + 545 + 83 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 74069065 + ... + 74069891.

It is an arithmetic number, because the mean of its divisors is an integer number (528992640).

Almost surely, 2^61255458306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61255458306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84638822400).

61255458306 is an abundant number, since it is smaller than the sum of its proper divisors (108022186494).

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

61255458306 is a wasteful number, since it uses less digits than its factorization.

61255458306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 61255458306 in words is "sixty-one billion, two hundred fifty-five million, four hundred fifty-eight thousand, three hundred six".