1510052660964 has 135 divisors (see below), whose sum is σ = 3978168246283. Its totient is φ = 499480034688.

The previous prime is 1510052660911. The next prime is 1510052660969. The reversal of 1510052660964 is 4690662500151.

The square root of 1510052660964 is 1228842.

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

1510052660964 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 0 + 526 + 60 + 9 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 80688947364 + 1429363713600 = 284058^2 + 1195560^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1510052660969) 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, 5153763202 + ... + 5153763494.

Almost surely, 2^{1510052660964} is an apocalyptic number.

1510052660964 is the 1228842-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1510052660964

1510052660964 is an abundant number, since it is smaller than the sum of its proper divisors (2468115585319).

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

1510052660964 is an frugal number, since it uses more digits than its factorization.

1510052660964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1510052660964 in words is "one trillion, five hundred ten billion, fifty-two million, six hundred sixty thousand, nine hundred sixty-four".