51414011041409 has 2 divisors, whose sum is σ = 51414011041410. Its totient is φ = 51414011041408.

The previous prime is 51414011041331. The next prime is 51414011041429. The reversal of 51414011041409 is 90414011041415.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47755742765809 + 3658268275600 = 6910553^2 + 1912660^2 .

It is a cyclic number.

It is not a de Polignac number, because 51414011041409 - 2⁸ = 51414011041153 is a prime.

It is a super-2 number, since 2×51414011041409² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (51414011041429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25707005520704 + 25707005520705.

It is an arithmetic number, because the mean of its divisors is an integer number (25707005520705).

Almost surely, 2^{51414011041409} is an apocalyptic number.

It is an amenable number.

51414011041409 is a deficient number, since it is larger than the sum of its proper divisors (1).

51414011041409 is an equidigital number, since it uses as much as digits as its factorization.

51414011041409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11520, while the sum is 35.

The spelling of 51414011041409 in words is "fifty-one trillion, four hundred fourteen billion, eleven million, forty-one thousand, four hundred nine".