513141514445340 has 72 divisors (see below), whose sum is σ = 1698031920534768. Its totient is φ = 124397942895360.

The previous prime is 513141514445291. The next prime is 513141514445389. The reversal of 513141514445340 is 43544415141315.

513141514445340 is a `hidden beast` number, since 5 + 1 + 3 + 1 + 4 + 1 + 514 + 44 + 53 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (513141514445291) and next prime (513141514445389).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129581188537 + ... + 129581192496.

It is an arithmetic number, because the mean of its divisors is an integer number (23583776674094).

Almost surely, 2^{513141514445340} is an apocalyptic number.

It is an amenable number.

513141514445340 is an abundant number, since it is smaller than the sum of its proper divisors (1184890406089428).

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

513141514445340 is a wasteful number, since it uses less digits than its factorization.

513141514445340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259162381059 (or 259162381054 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

Adding to 513141514445340 its reverse (43544415141315), we get a palindrome (556685929586655).

The spelling of 513141514445340 in words is "five hundred thirteen trillion, one hundred forty-one billion, five hundred fourteen million, four hundred forty-five thousand, three hundred forty".