511222553001121 has 16 divisors (see below), whose sum is σ = 553425922597968. Its totient is φ = 469435994496000.

The previous prime is 511222553001109. The next prime is 511222553001133. The reversal of 511222553001121 is 121100355222115.

It is an interprime number because it is at equal distance from previous prime (511222553001109) and next prime (511222553001133).

It can be written as a sum of positive squares in 8 ways, for example, as 9539202873600 + 501683350127521 = 3088560^2 + 22398289^2 .

It is a cyclic number.

It is not a de Polignac number, because 511222553001121 - 2¹¹ = 511222552999073 is a prime.

It is a super-2 number, since 2×511222553001121² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (511222553005121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114232126 + ... + 118623031.

It is an arithmetic number, because the mean of its divisors is an integer number (34589120162373).

Almost surely, 2^{511222553001121} is an apocalyptic number.

It is an amenable number.

511222553001121 is a deficient number, since it is larger than the sum of its proper divisors (42203369596847).

511222553001121 is a wasteful number, since it uses less digits than its factorization.

511222553001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232856052.

The product of its (nonzero) digits is 6000, while the sum is 31.

The spelling of 511222553001121 in words is "five hundred eleven trillion, two hundred twenty-two billion, five hundred fifty-three million, one thousand, one hundred twenty-one".