2004952672125 has 160 divisors (see below), whose sum is σ = 4032854681856. Its totient is φ = 985213756800.

The previous prime is 2004952672103. The next prime is 2004952672127. The reversal of 2004952672125 is 5212762594002.

2004952672125 is a `hidden beast` number, since 2 + 0 + 0 + 49 + 526 + 72 + 12 + 5 = 666.

It is not a de Polignac number, because 2004952672125 - 2¹⁵ = 2004952639357 is a prime.

It is a super-2 number, since 2×2004952672125² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004952672127) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 71984952 + ... + 72012798.

Almost surely, 2^{2004952672125} is an apocalyptic number.

2004952672125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2004952672125 is an abundant number, since it is smaller than the sum of its proper divisors (2027902009731).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2004952672125 is a wasteful number, since it uses less digits than its factorization.

2004952672125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28434 (or 28415 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 2004952672125 in words is "two trillion, four billion, nine hundred fifty-two million, six hundred seventy-two thousand, one hundred twenty-five".