5077953 has 24 divisors (see below), whose sum is σ = 7619040. Its totient is φ = 3257280.

The previous prime is 5077931. The next prime is 5077957. The reversal of 5077953 is 3597705.

It is not a de Polignac number, because 5077953 - 2⁶ = 5077889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5077957) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 38698 + ... + 38828.

It is an arithmetic number, because the mean of its divisors is an integer number (317460).

Almost surely, 2^5077953 is an apocalyptic number.

It is an amenable number.

5077953 is a deficient number, since it is larger than the sum of its proper divisors (2541087).

5077953 is a wasteful number, since it uses less digits than its factorization.

5077953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 36.

The square root of 5077953 is about 2253.4313834683. The cubic root of 5077953 is about 171.8816677523.

It can be divided in two parts, 507795 and 3, that multiplied together give a triangular number (1523385 = T₁₇₄₅).

The spelling of 5077953 in words is "five million, seventy-seven thousand, nine hundred fifty-three".