2564624001561 has 8 divisors (see below), whose sum is σ = 3442144355904. Its totient is φ = 1698426490800.

The previous prime is 2564624001557. The next prime is 2564624001587. The reversal of 2564624001561 is 1651004264652.

2564624001561 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 2564624001561 - 2² = 2564624001557 is a prime.

It is a super-2 number, since 2×2564624001561² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2564624001061) 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, 2830710366 + ... + 2830711271.

It is an arithmetic number, because the mean of its divisors is an integer number (430268044488).

Almost surely, 2^{2564624001561} is an apocalyptic number.

It is an amenable number.

2564624001561 is a deficient number, since it is larger than the sum of its proper divisors (877520354343).

2564624001561 is a wasteful number, since it uses less digits than its factorization.

2564624001561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5661421791.

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 2564624001561 in words is "two trillion, five hundred sixty-four billion, six hundred twenty-four million, one thousand, five hundred sixty-one".