49557438225 has 189 divisors, whose sum is σ = 98892584067. Its totient is φ = 24619438080.

The previous prime is 49557438211. The next prime is 49557438239. The reversal of 49557438225 is 52283475594.

The square root of 49557438225 is 222615.

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

49557438225 is a `hidden beast` number, since 4 + 9 + 557 + 4 + 3 + 82 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (49557438211) and next prime (49557438239).

It can be written as a sum of positive squares in 13 ways, for example, as 19734911361 + 29822526864 = 140481^2 + 172692^2 .

It is not a de Polignac number, because 49557438225 - 2¹¹ = 49557436177 is a prime.

Its product of digits (12096000) is a multiple of the sum of its prime factors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 510901377 + ... + 510901473.

Almost surely, 2^49557438225 is an apocalyptic number.

49557438225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

49557438225 is the 222615-th square number.

49557438225 is the 111308-th centered octagonal number.

It is an amenable number.

49557438225 is a deficient number, since it is larger than the sum of its proper divisors (49335145842).

49557438225 is an frugal number, since it uses more digits than its factorization.

49557438225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 122 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 49557438225 in words is "forty-nine billion, five hundred fifty-seven million, four hundred thirty-eight thousand, two hundred twenty-five".