51001101001 has 8 divisors (see below), whose sum is σ = 51538118184. Its totient is φ = 50465587200.

The previous prime is 51001100993. The next prime is 51001101007. The reversal of 51001101001 is 10010110015.

It can be written as a sum of positive squares in 4 ways, for example, as 1216335376 + 49784765625 = 34876^2 + 223125^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 51001101001 - 2³ = 51001100993 is a prime.

It is a super-2 number, since 2×51001101001² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51001101007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307576 + ... + 443401.

It is an arithmetic number, because the mean of its divisors is an integer number (6442264773).

Almost surely, 2^51001101001 is an apocalyptic number.

It is an amenable number.

51001101001 is a deficient number, since it is larger than the sum of its proper divisors (537017183).

51001101001 is a wasteful number, since it uses less digits than its factorization.

51001101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751691.

The product of its (nonzero) digits is 5, while the sum is 10.

Adding to 51001101001 its reverse (10010110015), we get a palindrome (61011211016).

The spelling of 51001101001 in words is "fifty-one billion, one million, one hundred one thousand, one".