52004007 has 24 divisors (see below), whose sum is σ = 86261760. Its totient is φ = 29857680.

The previous prime is 52003997. The next prime is 52004023. The reversal of 52004007 is 70040025.

It is a happy number.

It is not a de Polignac number, because 52004007 - 2¹⁴ = 51987623 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52004107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11943 + ... + 15704.

It is an arithmetic number, because the mean of its divisors is an integer number (3594240).

Almost surely, 2^52004007 is an apocalyptic number.

52004007 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

52004007 is a deficient number, since it is larger than the sum of its proper divisors (34257753).

52004007 is a wasteful number, since it uses less digits than its factorization.

52004007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27683 (or 27680 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 52004007 is about 7211.3803810366. The cubic root of 52004007 is about 373.2607027254.

The spelling of 52004007 in words is "fifty-two million, four thousand, seven".