51135211601 has 2 divisors, whose sum is σ = 51135211602. Its totient is φ = 51135211600.

The previous prime is 51135211583. The next prime is 51135211609. The reversal of 51135211601 is 10611253115.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41648646400 + 9486565201 = 204080^2 + 97399^2 .

It is a cyclic number.

It is not a de Polignac number, because 51135211601 - 2²² = 51131017297 is a prime.

It is a super-2 number, since 2×51135211601² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (51135211609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25567605800 + 25567605801.

It is an arithmetic number, because the mean of its divisors is an integer number (25567605801).

Almost surely, 2^51135211601 is an apocalyptic number.

It is an amenable number.

51135211601 is a deficient number, since it is larger than the sum of its proper divisors (1).

51135211601 is an equidigital number, since it uses as much as digits as its factorization.

51135211601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 51135211601 its reverse (10611253115), we get a palindrome (61746464716).

The spelling of 51135211601 in words is "fifty-one billion, one hundred thirty-five million, two hundred eleven thousand, six hundred one".