53949025 has 27 divisors (see below), whose sum is σ = 73085259. Its totient is φ = 39486720.

The previous prime is 53949017. The next prime is 53949067. The reversal of 53949025 is 52094935.

53949025 = T₄₀₆ + T₄₀₇ + ... + T₇₃₀.

The square root of 53949025 is 7345.

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

53949025 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 13 ways, for example, as 45792289 + 8156736 = 6767^2 + 2856^2 .

It is not a de Polignac number, because 53949025 - 2³ = 53949017 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 477369 + ... + 477481.

Almost surely, 2^53949025 is an apocalyptic number.

53949025 is the 7345-th square number.

53949025 is the 3673-rd centered octagonal number.

It is an amenable number.

53949025 is a deficient number, since it is larger than the sum of its proper divisors (19136234).

53949025 is a wasteful number, since it uses less digits than its factorization.

53949025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The cubic root of 53949025 is about 377.8573433110.

The spelling of 53949025 in words is "fifty-three million, nine hundred forty-nine thousand, twenty-five".