2564600601 has 8 divisors (see below), whose sum is σ = 3599439520. Its totient is φ = 1619747712.

The previous prime is 2564600567. The next prime is 2564600611. The reversal of 2564600601 is 1060064652.

2564600601 is digitally balanced in base 2 and base 4, because in such bases 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 2564600601 - 2⁶ = 2564600537 is a prime.

It is a super-2 number, since 2×2564600601² = 13154352485299122402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2564600611) 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, 22496440 + ... + 22496553.

It is an arithmetic number, because the mean of its divisors is an integer number (449929940).

Almost surely, 2^2564600601 is an apocalyptic number.

It is an amenable number.

2564600601 is a deficient number, since it is larger than the sum of its proper divisors (1034838919).

2564600601 is a wasteful number, since it uses less digits than its factorization.

2564600601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44993015.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2564600601 is about 50641.8858357388. The cubic root of 2564600601 is about 1368.7997374641.

The spelling of 2564600601 in words is "two billion, five hundred sixty-four million, six hundred thousand, six hundred one".