1290542626561 has 8 divisors (see below), whose sum is σ = 1320385821248. Its totient is φ = 1260979650000.

The previous prime is 1290542626559. The next prime is 1290542626577. The reversal of 1290542626561 is 1656262450921.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1290542626561 - 2¹ = 1290542626559 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1290542626511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70045215 + ... + 70063636.

It is an arithmetic number, because the mean of its divisors is an integer number (165048227656).

Almost surely, 2^{1290542626561} is an apocalyptic number.

It is an amenable number.

1290542626561 is a deficient number, since it is larger than the sum of its proper divisors (29843194687).

1290542626561 is a wasteful number, since it uses less digits than its factorization.

1290542626561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140109063.

The product of its (nonzero) digits is 1555200, while the sum is 49.

The spelling of 1290542626561 in words is "one trillion, two hundred ninety billion, five hundred forty-two million, six hundred twenty-six thousand, five hundred sixty-one".