2601564625 has 64 divisors (see below), whose sum is σ = 3736212480. Its totient is φ = 1790880000.

The previous prime is 2601564617. The next prime is 2601564643. The reversal of 2601564625 is 5264651062.

It is not a de Polignac number, because 2601564625 - 2³ = 2601564617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2112760 + ... + 2113990.

It is an arithmetic number, because the mean of its divisors is an integer number (58378320).

Almost surely, 2^2601564625 is an apocalyptic number.

2601564625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2601564625 is a deficient number, since it is larger than the sum of its proper divisors (1134647855).

2601564625 is a wasteful number, since it uses less digits than its factorization.

2601564625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 2601564625 is about 51005.5352388346. The cubic root of 2601564625 is about 1375.3446408820.

The spelling of 2601564625 in words is "two billion, six hundred one million, five hundred sixty-four thousand, six hundred twenty-five".