511133253345 has 128 divisors (see below), whose sum is σ = 1069753466880. Its totient is φ = 228285008640.

The previous prime is 511133253343. The next prime is 511133253347. The reversal of 511133253345 is 543352331115.

511133253345 is a `hidden beast` number, since 5 + 1 + 113 + 3 + 2 + 533 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (511133253343) and next prime (511133253347).

It is not a de Polignac number, because 511133253345 - 2¹ = 511133253343 is a prime.

It is a super-2 number, since 2×511133253345² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (511133253343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9374352 + ... + 9428718.

It is an arithmetic number, because the mean of its divisors is an integer number (8357448960).

Almost surely, 2^511133253345 is an apocalyptic number.

511133253345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

511133253345 is an abundant number, since it is smaller than the sum of its proper divisors (558620213535).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

511133253345 is a wasteful number, since it uses less digits than its factorization.

511133253345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54892 (or 54886 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

The spelling of 511133253345 in words is "five hundred eleven billion, one hundred thirty-three million, two hundred fifty-three thousand, three hundred forty-five".