513097740 has 240 divisors, whose sum is σ = 1762193664. Its totient is φ = 124416000.

The previous prime is 513097691. The next prime is 513097747. The reversal of 513097740 is 47790315.

It is a happy number.

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 = 513097695 and 513097704.

It is not an unprimeable number, because it can be changed into a prime (513097747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 853440 + ... + 854040.

Almost surely, 2^513097740 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 513097740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881096832).

513097740 is an abundant number, since it is smaller than the sum of its proper divisors (1249095924).

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

513097740 is a wasteful number, since it uses less digits than its factorization.

513097740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 513097740 is about 22651.6608662588. The cubic root of 513097740 is about 800.5713314617.

It can be divided in two parts, 51309 and 7740, that added together give a 10-th power (59049 = 3¹⁰).

The spelling of 513097740 in words is "five hundred thirteen million, ninety-seven thousand, seven hundred forty".