63113127 has 48 divisors (see below), whose sum is σ = 111497472. Its totient is φ = 31342080.

The previous prime is 63113119. The next prime is 63113137. The reversal of 63113127 is 72131136.

It is not a de Polignac number, because 63113127 - 2³ = 63113119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 63113097 and 63113106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63113137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36343 + ... + 38039.

It is an arithmetic number, because the mean of its divisors is an integer number (2322864).

Almost surely, 2^63113127 is an apocalyptic number.

63113127 is a deficient number, since it is larger than the sum of its proper divisors (48384345).

63113127 is a wasteful number, since it uses less digits than its factorization.

63113127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1741 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 63113127 is about 7944.3770680904. The cubic root of 63113127 is about 398.1437470543.

Subtracting 63113127 from its reverse (72131136), we obtain a square (9018009 = 3003²).

The spelling of 63113127 in words is "sixty-three million, one hundred thirteen thousand, one hundred twenty-seven".