2952952598001 has 16 divisors (see below), whose sum is σ = 4501630400384. Its totient is φ = 1686691569024.

The previous prime is 2952952597981. The next prime is 2952952598009. The reversal of 2952952598001 is 1008952592592.

It is not a de Polignac number, because 2952952598001 - 2¹⁰ = 2952952596977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2952952598009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29528710 + ... + 29628543.

It is an arithmetic number, because the mean of its divisors is an integer number (281351900024).

Almost surely, 2^{2952952598001} is an apocalyptic number.

2952952598001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2952952598001 is a deficient number, since it is larger than the sum of its proper divisors (1548677802383).

2952952598001 is a wasteful number, since it uses less digits than its factorization.

2952952598001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59159640.

The product of its (nonzero) digits is 5832000, while the sum is 57.

The spelling of 2952952598001 in words is "two trillion, nine hundred fifty-two billion, nine hundred fifty-two million, five hundred ninety-eight thousand, one".