5382510 has 96 divisors (see below), whose sum is σ = 15800832. Its totient is φ = 1149120.

The previous prime is 5382493. The next prime is 5382527. The reversal of 5382510 is 152835.

5382510 = T₅₃₇ + T₅₃₈ + ... + T₅₇₁.

It is an interprime number because it is at equal distance from previous prime (5382493) and next prime (5382527).

It is an Ulam number.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75775 + ... + 75845.

It is an arithmetic number, because the mean of its divisors is an integer number (164592).

Almost surely, 2^5382510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5382510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7900416).

5382510 is an abundant number, since it is smaller than the sum of its proper divisors (10418322).

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

5382510 is a wasteful number, since it uses less digits than its factorization.

5382510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 5382510 is about 2320.0237067754. The cubic root of 5382510 is about 175.2514480586.

It can be divided in two parts, 53825 and 10, that added together give a palindrome (53835).

The spelling of 5382510 in words is "five million, three hundred eighty-two thousand, five hundred ten".