1290421025089 has 45 divisors (see below), whose sum is σ = 1527472206627. Its totient is φ = 1090092108672.

The previous prime is 1290421025063. The next prime is 1290421025119. The reversal of 1290421025089 is 9805201240921.

The square root of 1290421025089 is 1135967.

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., 579448276225 + 710972748864 = 761215^2 + 843192^2 .

It is not a de Polignac number, because 1290421025089 - 2⁹ = 1290421024577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1290421025009) 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, 5399251032 + ... + 5399251270.

Almost surely, 2^{1290421025089} is an apocalyptic number.

1290421025089 is the 1135967-th square number.

1290421025089 is the 567984-th centered octagonal number.

It is an amenable number.

1290421025089 is a deficient number, since it is larger than the sum of its proper divisors (237051181538).

1290421025089 is an frugal number, since it uses more digits than its factorization.

1290421025089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 1290421025089 in words is "one trillion, two hundred ninety billion, four hundred twenty-one million, twenty-five thousand, eighty-nine".