2505006973101 has 8 divisors (see below), whose sum is σ = 3340060554304. Its totient is φ = 1669979020320.

The previous prime is 2505006973099. The next prime is 2505006973109. The reversal of 2505006973101 is 1013796005052.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2505006973101 - 2¹ = 2505006973099 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2505006973101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505006973109) 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, 6177865 + ... + 6570846.

It is an arithmetic number, because the mean of its divisors is an integer number (417507569288).

Almost surely, 2^{2505006973101} is an apocalyptic number.

It is an amenable number.

2505006973101 is a deficient number, since it is larger than the sum of its proper divisors (835053581203).

2505006973101 is a wasteful number, since it uses less digits than its factorization.

2505006973101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12814211.

The product of its (nonzero) digits is 56700, while the sum is 39.

The spelling of 2505006973101 in words is "two trillion, five hundred five billion, six million, nine hundred seventy-three thousand, one hundred one".