513146400234 has 64 divisors (see below), whose sum is σ = 1108729036800. Its totient is φ = 157393190592.

The previous prime is 513146400233. The next prime is 513146400251. The reversal of 513146400234 is 432004641315.

It is a happy number.

It is a super-2 number, since 2×513146400234² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 513146400195 and 513146400204.

It is not an unprimeable number, because it can be changed into a prime (513146400233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43104727 + ... + 43116629.

It is an arithmetic number, because the mean of its divisors is an integer number (17323891200).

Almost surely, 2^513146400234 is an apocalyptic number.

513146400234 is an abundant number, since it is smaller than the sum of its proper divisors (595582636566).

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

513146400234 is a wasteful number, since it uses less digits than its factorization.

513146400234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13619.

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 513146400234 in words is "five hundred thirteen billion, one hundred forty-six million, four hundred thousand, two hundred thirty-four".