1461562520401 has 9 divisors (see below), whose sum is σ = 1542559756251. Its totient is φ = 1384616416104.

The previous prime is 1461562520377. The next prime is 1461562520413. The reversal of 1461562520401 is 1040252651641.

The square root of 1461562520401 is 1208951.

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., 561227220801 + 900335299600 = 749151^2 + 948860^2 .

It is not a de Polignac number, because 1461562520401 - 2²⁵ = 1461528965969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1461562520101) 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, 22938255 + ... + 23001883.

Almost surely, 2^{1461562520401} is an apocalyptic number.

1461562520401 is the 1208951-st square number.

1461562520401 is the 604476-th centered octagonal number.

It is an amenable number.

1461562520401 is a deficient number, since it is larger than the sum of its proper divisors (80997235850).

1461562520401 is an frugal number, since it uses more digits than its factorization.

1461562520401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127296 (or 63648 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 1461562520401 in words is "one trillion, four hundred sixty-one billion, five hundred sixty-two million, five hundred twenty thousand, four hundred one".