1520801971264 has 63 divisors (see below), whose sum is σ = 3042452113077. Its totient is φ = 754249744128.

The previous prime is 1520801971261. The next prime is 1520801971303. The reversal of 1520801971264 is 4621791080251.

The square root of 1520801971264 is 1233208.

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., 24583731264 + 1496218240000 = 156792^2 + 1223200^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1520801971261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1371326742 + ... + 1371327850.

Almost surely, 2^{1520801971264} is an apocalyptic number.

1520801971264 is the 1233208-th square number.

It is an amenable number.

1520801971264 is an abundant number, since it is smaller than the sum of its proper divisors (1521650141813).

1520801971264 is an frugal number, since it uses more digits than its factorization.

1520801971264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 1520801971264 in words is "one trillion, five hundred twenty billion, eight hundred one million, nine hundred seventy-one thousand, two hundred sixty-four".