511313113553401 has 2 divisors, whose sum is σ = 511313113553402. Its totient is φ = 511313113553400.

The previous prime is 511313113553387. The next prime is 511313113553449. The reversal of 511313113553401 is 104355311313115.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 407918809000000 + 103394304553401 = 20197000^2 + 10168299^2 .

It is a cyclic number.

It is not a de Polignac number, because 511313113553401 - 2⁷ = 511313113553273 is a prime.

It is a super-2 number, since 2×511313113553401² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (511313113553201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 255656556776700 + 255656556776701.

It is an arithmetic number, because the mean of its divisors is an integer number (255656556776701).

Almost surely, 2^{511313113553401} is an apocalyptic number.

It is an amenable number.

511313113553401 is a deficient number, since it is larger than the sum of its proper divisors (1).

511313113553401 is an equidigital number, since it uses as much as digits as its factorization.

511313113553401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40500, while the sum is 37.

Adding to 511313113553401 its reverse (104355311313115), we get a palindrome (615668424866516).

The spelling of 511313113553401 in words is "five hundred eleven trillion, three hundred thirteen billion, one hundred thirteen million, five hundred fifty-three thousand, four hundred one".