5101506 has 36 divisors (see below), whose sum is σ = 11481522. Its totient is φ = 1636992.

The previous prime is 5101501. The next prime is 5101511. The reversal of 5101506 is 6051015.

5101506 is a `hidden beast` number, since 510 + 150 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5101501) and next prime (5101511).

It can be written as a sum of positive squares in 3 ways, for example, as 3980025 + 1121481 = 1995^2 + 1059^2 .

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5101501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14970 + ... + 15306.

Almost surely, 2^5101506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5101506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5740761).

5101506 is an abundant number, since it is smaller than the sum of its proper divisors (6380016).

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

5101506 is a wasteful number, since it uses less digits than its factorization.

5101506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 5101506 is about 2258.6513675200. The cubic root of 5101506 is about 172.1470034034.

It can be divided in two parts, 510 and 1506, that added together give a triangular number (2016 = T₆₃).

The spelling of 5101506 in words is "five million, one hundred one thousand, five hundred six".