49601205225 has 192 divisors, whose sum is σ = 107405625600. Its totient is φ = 22125312000.

The previous prime is 49601205209. The next prime is 49601205259. The reversal of 49601205225 is 52250210694.

49601205225 is a `hidden beast` number, since 4 + 9 + 6 + 0 + 120 + 522 + 5 = 666.

It is not a de Polignac number, because 49601205225 - 2⁴ = 49601205209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 49601205225.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37547565 + ... + 37548885.

It is an arithmetic number, because the mean of its divisors is an integer number (559404300).

Almost surely, 2^49601205225 is an apocalyptic number.

49601205225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

49601205225 is an abundant number, since it is smaller than the sum of its proper divisors (57804420375).

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

49601205225 is a wasteful number, since it uses less digits than its factorization.

49601205225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 49601205225 in words is "forty-nine billion, six hundred one million, two hundred five thousand, two hundred twenty-five".