65138031 has 48 divisors (see below), whose sum is σ = 112656960. Its totient is φ = 35481600.

The previous prime is 65138011. The next prime is 65138063. The reversal of 65138031 is 13083156.

65138031 is a `hidden beast` number, since 651 + 3 + 8 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 65138031 - 2⁷ = 65137903 is a prime.

It is a super-2 number, since 2×65138031² = 8485926165113922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 65137986 and 65138004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65138011) 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, 184351 + ... + 184703.

It is an arithmetic number, because the mean of its divisors is an integer number (2347020).

Almost surely, 2^65138031 is an apocalyptic number.

65138031 is a deficient number, since it is larger than the sum of its proper divisors (47518929).

65138031 is a wasteful number, since it uses less digits than its factorization.

65138031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 65138031 is about 8070.8135277678. The cubic root of 65138031 is about 402.3569822247.

The spelling of 65138031 in words is "sixty-five million, one hundred thirty-eight thousand, thirty-one".