48560733225 has 135 divisors (see below), whose sum is σ = 92617415143. Its totient is φ = 25153342560.

The previous prime is 48560733217. The next prime is 48560733229. The reversal of 48560733225 is 52233706584.

The square root of 48560733225 is 220365.

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

48560733225 is a `hidden beast` number, since 4 + 8 + 5 + 607 + 3 + 32 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17481863961 + 31078869264 = 132219^2 + 176292^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 48560733225 - 2³ = 48560733217 is a prime.

It is a super-2 number, since 2×48560733225² (a number of 22 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48560733229) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 585069034 + ... + 585069116.

Almost surely, 2^48560733225 is an apocalyptic number.

48560733225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48560733225 is the 220365-th square number.

48560733225 is the 110183-rd centered octagonal number.

It is an amenable number.

48560733225 is a deficient number, since it is larger than the sum of its proper divisors (44056681918).

48560733225 is an frugal number, since it uses more digits than its factorization.

48560733225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 48560733225 in words is "forty-eight billion, five hundred sixty million, seven hundred thirty-three thousand, two hundred twenty-five".