2251540210561 has 8 divisors (see below), whose sum is σ = 2299491336960. Its totient is φ = 2203591001568.

The previous prime is 2251540210519. The next prime is 2251540210567. The reversal of 2251540210561 is 1650120451522.

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 2251540210561 - 2¹⁵ = 2251540177793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2251540210567) 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, 2032900 + ... + 2938666.

It is an arithmetic number, because the mean of its divisors is an integer number (287436417120).

Almost surely, 2^{2251540210561} is an apocalyptic number.

It is an amenable number.

2251540210561 is a deficient number, since it is larger than the sum of its proper divisors (47951126399).

2251540210561 is an equidigital number, since it uses as much as digits as its factorization.

2251540210561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958703.

The product of its (nonzero) digits is 24000, while the sum is 34.

The spelling of 2251540210561 in words is "two trillion, two hundred fifty-one billion, five hundred forty million, two hundred ten thousand, five hundred sixty-one".