513341748 has 18 divisors (see below), whose sum is σ = 1297613954. Its totient is φ = 171113904.

The previous prime is 513341693. The next prime is 513341797. The reversal of 513341748 is 847143315.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 357890724 + 155451024 = 18918^2 + 12468^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×513341748³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 14259493 = 513341748 / (5 + 1 + 3 + 3 + 4 + 1 + 7 + 4 + 8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7129711 + ... + 7129782.

Almost surely, 2^513341748 is an apocalyptic number.

It is an amenable number.

513341748 is an abundant number, since it is smaller than the sum of its proper divisors (784272206).

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

513341748 is a wasteful number, since it uses less digits than its factorization.

513341748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14259503 (or 14259498 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 513341748 is about 22657.0463211779. The cubic root of 513341748 is about 800.6982175214.

It can be divided in two parts, 513341 and 748, that added together give a square (514089 = 717²).

The spelling of 513341748 in words is "five hundred thirteen million, three hundred forty-one thousand, seven hundred forty-eight".