513145416294 has 48 divisors (see below), whose sum is σ = 1278739127328. Its totient is φ = 145679129856.

The previous prime is 513145416293. The next prime is 513145416361. The reversal of 513145416294 is 492614541315.

513145416294 is a `hidden beast` number, since 5 + 1 + 3 + 14 + 5 + 4 + 1 + 629 + 4 = 666.

It is a super-3 number, since 3×513145416294³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513145416293) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12950227 + ... + 12989790.

It is an arithmetic number, because the mean of its divisors is an integer number (26640398486).

Almost surely, 2^513145416294 is an apocalyptic number.

513145416294 is an abundant number, since it is smaller than the sum of its proper divisors (765593711034).

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

513145416294 is a wasteful number, since it uses less digits than its factorization.

513145416294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25940189 (or 25940186 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 513145416294 in words is "five hundred thirteen billion, one hundred forty-five million, four hundred sixteen thousand, two hundred ninety-four".