49051175625 has 45 divisors (see below), whose sum is σ = 88566273939. Its totient is φ = 26151768000.

The previous prime is 49051175581. The next prime is 49051175627. The reversal of 49051175625 is 52657115094.

It is a happy number.

The square root of 49051175625 is 221475.

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

49051175625 is a `hidden beast` number, since 4 + 9 + 0 + 5 + 1 + 17 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 21770707401 + 27280468224 = 147549^2 + 165168^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 49051175625 - 2⁷ = 49051175497 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 (49051175627) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16609149 + ... + 16612101.

Almost surely, 2^49051175625 is an apocalyptic number.

49051175625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

49051175625 is the 221475-th square number.

49051175625 is the 110738-th centered octagonal number.

It is an amenable number.

49051175625 is a deficient number, since it is larger than the sum of its proper divisors (39515098314).

49051175625 is an frugal number, since it uses more digits than its factorization.

49051175625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

It can be divided in two parts, 49051 and 175625, that added together give a square (224676 = 474²).

The spelling of 49051175625 in words is "forty-nine billion, fifty-one million, one hundred seventy-five thousand, six hundred twenty-five".