10507530 has 64 divisors (see below), whose sum is σ = 29144448. Its totient is φ = 2396160.

The previous prime is 10507529. The next prime is 10507559. The reversal of 10507530 is 3570501.

It is a happy number.

10507530 is nontrivially palindromic in base 4 and base 16.

It is a super-3 number, since 3×10507530³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 10507497 and 10507506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4674 + ... + 6546.

It is an arithmetic number, because the mean of its divisors is an integer number (455382).

Almost surely, 2^10507530 is an apocalyptic number.

10507530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10507530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14572224).

10507530 is an abundant number, since it is smaller than the sum of its proper divisors (18636918).

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

10507530 is a wasteful number, since it uses less digits than its factorization.

10507530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911.

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 10507530 is about 3241.5320451910. The cubic root of 10507530 is about 219.0282901674.

The spelling of 10507530 in words is "ten million, five hundred seven thousand, five hundred thirty".