1493513316 has 135 divisors (see below), whose sum is σ = 4157434281. Its totient is φ = 467462016.

The previous prime is 1493513299. The next prime is 1493513317. The reversal of 1493513316 is 6133153941.

It is a happy number.

The square root of 1493513316 is 38646.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 26316900 + 1467196416 = 5130^2 + 38304^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1493513317) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13216876 + ... + 13216988.

Almost surely, 2^1493513316 is an apocalyptic number.

1493513316 is the 38646-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1493513316

1493513316 is an abundant number, since it is smaller than the sum of its proper divisors (2663920965).

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

1493513316 is a wasteful number, since it uses less digits than its factorization.

1493513316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 137 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The cubic root of 1493513316 is about 1143.0617694520.

Multiplying 1493513316 by its sum of digits (36), we get a square (53766479376 = 231876²).

1493513316 divided by its sum of digits (36) gives a square (41486481 = 6441²).

The spelling of 1493513316 in words is "one billion, four hundred ninety-three million, five hundred thirteen thousand, three hundred sixteen".