513745740 has 144 divisors (see below), whose sum is σ = 1660337952. Its totient is φ = 133249536.

The previous prime is 513745717. The next prime is 513745741. The reversal of 513745740 is 47547315.

It is a happy number.

513745740 is a `hidden beast` number, since 5 + 13 + 74 + 574 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 513745695 and 513745704.

It is not an unprimeable number, because it can be changed into a prime (513745741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178392 + ... + 181248.

Almost surely, 2^513745740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513745740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830168976).

513745740 is an abundant number, since it is smaller than the sum of its proper divisors (1146592212).

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

513745740 is a wasteful number, since it uses less digits than its factorization.

513745740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 513745740 is about 22665.9599399628. The cubic root of 513745740 is about 800.9082081406.

The spelling of 513745740 in words is "five hundred thirteen million, seven hundred forty-five thousand, seven hundred forty".