1513151664 has 80 divisors (see below), whose sum is σ = 4043741184. Its totient is φ = 487065600.

The previous prime is 1513151663. The next prime is 1513151671. The reversal of 1513151664 is 4661513151.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1513151663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1000669 + ... + 1002179.

Almost surely, 2^1513151664 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 1513151664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021870592).

1513151664 is an abundant number, since it is smaller than the sum of its proper divisors (2530589520).

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

1513151664 is a wasteful number, since it uses less digits than its factorization.

1513151664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2220 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The square root of 1513151664 is about 38899.2501727218. The cubic root of 1513151664 is about 1148.0500449639.

It can be divided in two parts, 15131 and 51664, that added together give a triangular number (66795 = T₃₆₅).

The spelling of 1513151664 in words is "one billion, five hundred thirteen million, one hundred fifty-one thousand, six hundred sixty-four".