2355125012001 has 6 divisors (see below), whose sum is σ = 3401847239570. Its totient is φ = 1570083341328.

The previous prime is 2355125011979. The next prime is 2355125012029. The reversal of 2355125012001 is 1002105215532.

2355125012001 is a `hidden beast` number, since 23 + 5 + 512 + 5 + 0 + 120 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1437178982976 + 917946029025 = 1198824^2 + 958095^2 .

It is not a de Polignac number, because 2355125012001 - 2¹⁰ = 2355125010977 is a prime.

It is a super-3 number, since 3×2355125012001³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2355124012001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 130840278436 + ... + 130840278453.

Almost surely, 2^{2355125012001} is an apocalyptic number.

It is an amenable number.

2355125012001 is a deficient number, since it is larger than the sum of its proper divisors (1046722227569).

2355125012001 is a wasteful number, since it uses less digits than its factorization.

2355125012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261680556895 (or 261680556892 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 2355125012001 in words is "two trillion, three hundred fifty-five billion, one hundred twenty-five million, twelve thousand, one".