513701496 has 384 divisors, whose sum is σ = 1857024000. Its totient is φ = 127008000.

The previous prime is 513701491. The next prime is 513701497. The reversal of 513701496 is 694107315.

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

It is a self number, because there is not a number n which added to its sum of digits gives 513701496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513701491) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8421306 + ... + 8421366.

It is an arithmetic number, because the mean of its divisors is an integer number (4836000).

Almost surely, 2^513701496 is an apocalyptic number.

513701496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513701496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928512000).

513701496 is an abundant number, since it is smaller than the sum of its proper divisors (1343322504).

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

513701496 is a wasteful number, since it uses less digits than its factorization.

513701496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 513701496 is about 22664.9839179294. The cubic root of 513701496 is about 800.8852159629.

The spelling of 513701496 in words is "five hundred thirteen million, seven hundred one thousand, four hundred ninety-six".