1513094346241 has 27 divisors (see below), whose sum is σ = 1615410079689. Its totient is φ = 1417051008000.

The previous prime is 1513094346221. The next prime is 1513094346293. The reversal of 1513094346241 is 1426434903151.

The square root of 1513094346241 is 1230079.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1143892281841 + 369202064400 = 1069529^2 + 607620^2 .

It is not a de Polignac number, because 1513094346241 - 2⁹ = 1513094345729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1513094346221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2360521281 + ... + 2360521921.

Almost surely, 2^{1513094346241} is an apocalyptic number.

1513094346241 is the 1230079-th square number.

1513094346241 is the 615040-th centered octagonal number.

It is an amenable number.

1513094346241 is a deficient number, since it is larger than the sum of its proper divisors (102315733448).

1513094346241 is an frugal number, since it uses more digits than its factorization.

1513094346241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 1513094346241 in words is "one trillion, five hundred thirteen billion, ninety-four million, three hundred forty-six thousand, two hundred forty-one".