51106401 has 6 divisors (see below), whose sum is σ = 73820370. Its totient is φ = 34070928.

The previous prime is 51106379. The next prime is 51106411. The reversal of 51106401 is 10460115.

It can be written as a sum of positive squares in only one way, i.e., 50339025 + 767376 = 7095^2 + 876^2 .

It is not a de Polignac number, because 51106401 - 2⁷ = 51106273 is a prime.

It is a super-2 number, since 2×51106401² = 5223728446345602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51106411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2839236 + ... + 2839253.

It is an arithmetic number, because the mean of its divisors is an integer number (12303395).

Almost surely, 2^51106401 is an apocalyptic number.

It is an amenable number.

51106401 is a deficient number, since it is larger than the sum of its proper divisors (22713969).

51106401 is a wasteful number, since it uses less digits than its factorization.

51106401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5678495 (or 5678492 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 51106401 is about 7148.8741071584. The cubic root of 51106401 is about 371.1006936258.

Adding to 51106401 its reverse (10460115), we get a palindrome (61566516).

It can be divided in two parts, 5110 and 6401, that added together give a palindrome (11511).

The spelling of 51106401 in words is "fifty-one million, one hundred six thousand, four hundred one".