511261045074 has 112 divisors (see below), whose sum is σ = 1311097945752. Its totient is φ = 148057403904.

The previous prime is 511261045069. The next prime is 511261045109. The reversal of 511261045074 is 470540162115.

511261045074 is a `hidden beast` number, since 5 + 1 + 126 + 10 + 450 + 74 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 493145231049 + 18115814025 = 702243^2 + 134595^2 .

It is a super-2 number, since 2×511261045074² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 471129 + ... + 1115564.

Almost surely, 2^511261045074 is an apocalyptic number.

511261045074 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

511261045074 is an abundant number, since it is smaller than the sum of its proper divisors (799836900678).

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

511261045074 is a wasteful number, since it uses less digits than its factorization.

511261045074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586743 (or 1586728 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 511261045074 in words is "five hundred eleven billion, two hundred sixty-one million, forty-five thousand, seventy-four".