1965460998601 has 3 divisors (see below), whose sum is σ = 1965462400551. Its totient is φ = 1965459596652.

The previous prime is 1965460998583. The next prime is 1965460998653. The reversal of 1965460998601 is 1068990645691.

The square root of 1965460998601 is 1401949.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 788279398201 + 1177181600400 = 887851^2 + 1084980^2 .

It is not a de Polignac number, because 1965460998601 - 2⁹ = 1965460998089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1965460198601) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 700975 + ... + 2102923.

It is an arithmetic number, because the mean of its divisors is an integer number (655154133517).

Almost surely, 2^{1965460998601} is an apocalyptic number.

1965460998601 is the 1401949-th square number.

1965460998601 is the 700975-th centered octagonal number.

It is an amenable number.

1965460998601 is a deficient number, since it is larger than the sum of its proper divisors (1401950).

1965460998601 is an frugal number, since it uses more digits than its factorization.

1965460998601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803898 (or 1401949 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 64.

Multiplying 1965460998601 by its sum of digits (64), we get a square (125789503910464 = 11215592²).

The spelling of 1965460998601 in words is "one trillion, nine hundred sixty-five billion, four hundred sixty million, nine hundred ninety-eight thousand, six hundred one".