61252259904 has 378 divisors, whose sum is σ = 205067246202. Its totient is φ = 17463705600.

The previous prime is 61252259891. The next prime is 61252259911. The reversal of 61252259904 is 40995225216.

61252259904 is a `hidden beast` number, since 6 + 1 + 2 + 52 + 2 + 599 + 0 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 43828259904 + 17424000000 = 209352^2 + 132000^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 61252259904.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 20140624 + ... + 20143664.

Almost surely, 2^61252259904 is an apocalyptic number.

61252259904 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61252259904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102533623101).

61252259904 is an abundant number, since it is smaller than the sum of its proper divisors (143814986298).

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

61252259904 is a wasteful number, since it uses less digits than its factorization.

61252259904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 61252259904 in words is "sixty-one billion, two hundred fifty-two million, two hundred fifty-nine thousand, nine hundred four".