2572753102601 has 8 divisors (see below), whose sum is σ = 2807886616608. Its totient is φ = 2337827400000.

The previous prime is 2572753102571. The next prime is 2572753102657. The reversal of 2572753102601 is 1062013572752.

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 2572753102601 - 2⁶ = 2572753102537 is a prime.

It is a super-4 number, since 4×2572753102601⁴ (a number of 51 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2572753102681) 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, 51926960 + ... + 51976481.

It is an arithmetic number, because the mean of its divisors is an integer number (350985827076).

Almost surely, 2^{2572753102601} is an apocalyptic number.

It is an amenable number.

2572753102601 is a deficient number, since it is larger than the sum of its proper divisors (235133514007).

2572753102601 is a wasteful number, since it uses less digits than its factorization.

2572753102601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103905703.

The product of its (nonzero) digits is 176400, while the sum is 41.

The spelling of 2572753102601 in words is "two trillion, five hundred seventy-two billion, seven hundred fifty-three million, one hundred two thousand, six hundred one".