49838330025 has 225 divisors, whose sum is σ = 104086180165. Its totient is φ = 23574672000.

The previous prime is 49838329993. The next prime is 49838330027. The reversal of 49838330025 is 52003383894.

The square root of 49838330025 is 223245.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20977756569 + 28860573456 = 144837^2 + 169884^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 49838330025 - 2⁵ = 49838329993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (49838330027) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 1215569005 + ... + 1215569045.

Almost surely, 2^49838330025 is an apocalyptic number.

49838330025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

49838330025 is the 223245-th square number.

49838330025 is the 111623-rd centered octagonal number.

It is an amenable number.

49838330025 is an abundant number, since it is smaller than the sum of its proper divisors (54247850140).

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

49838330025 is an frugal number, since it uses more digits than its factorization.

49838330025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 49838330025 in words is "forty-nine billion, eight hundred thirty-eight million, three hundred thirty thousand, twenty-five".