52002126 has 96 divisors (see below), whose sum is σ = 135233280. Its totient is φ = 14256000.

The previous prime is 52002121. The next prime is 52002143. The reversal of 52002126 is 62120025.

It is a super-2 number, since 2×52002126² = 5408442217039752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 52002099 and 52002108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52002121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86226 + ... + 86826.

It is an arithmetic number, because the mean of its divisors is an integer number (1408680).

Almost surely, 2^52002126 is an apocalyptic number.

52002126 is the 3606-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52002126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67616640).

52002126 is an abundant number, since it is smaller than the sum of its proper divisors (83231154).

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

52002126 is a wasteful number, since it uses less digits than its factorization.

52002126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52002126 is about 7211.2499609984. The cubic root of 52002126 is about 373.2562023552.

The spelling of 52002126 in words is "fifty-two million, two thousand, one hundred twenty-six".