51538041 has 9 divisors (see below), whose sum is σ = 74474959. Its totient is φ = 34344336.

The previous prime is 51538021. The next prime is 51538043. The reversal of 51538041 is 14083515.

The square root of 51538041 is 7179.

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

It can be written as a sum of positive squares in only one way, i.e., 1071225 + 50466816 = 1035^2 + 7104^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 51538041 - 2⁹ = 51537529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 51537996 and 51538014.

It is not an unprimeable number, because it can be changed into a prime (51538043) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20341 + ... + 22733.

Almost surely, 2^51538041 is an apocalyptic number.

51538041 is the 7179-th square number.

51538041 is the 3590-th centered octagonal number.

It is an amenable number.

51538041 is a deficient number, since it is larger than the sum of its proper divisors (22936918).

51538041 is an frugal number, since it uses more digits than its factorization.

51538041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4792 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The cubic root of 51538041 is about 372.1425268980.

The spelling of 51538041 in words is "fifty-one million, five hundred thirty-eight thousand, forty-one".