49250705625 has 135 divisors (see below), whose sum is σ = 98077198219. Its totient is φ = 23790360000.

The previous prime is 49250705551. The next prime is 49250705663. The reversal of 49250705625 is 52650705294.

The square root of 49250705625 is 221925.

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

49250705625 is a `hidden beast` number, since 4 + 92 + 507 + 0 + 56 + 2 + 5 = 666.

49250705625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 49221415881 + 29289744 = 221859^2 + 5412^2 .

It is not a de Polignac number, because 49250705625 - 2¹⁷ = 49250574553 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 183087991 + ... + 183088259.

Almost surely, 2^49250705625 is an apocalyptic number.

49250705625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

49250705625 is the 221925-th square number.

49250705625 is the 110963-rd centered octagonal number.

It is an amenable number.

49250705625 is a deficient number, since it is larger than the sum of its proper divisors (48826492594).

49250705625 is an equidigital number, since it uses as much as digits as its factorization.

49250705625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 49250705625 in words is "forty-nine billion, two hundred fifty million, seven hundred five thousand, six hundred twenty-five".