10527173130 has 128 divisors (see below), whose sum is σ = 27234662400. Its totient is φ = 2598220800.

The previous prime is 10527173089. The next prime is 10527173131. The reversal of 10527173130 is 3137172501.

It is a super-2 number, since 2×10527173130² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10527173131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2937940 + ... + 2941520.

It is an arithmetic number, because the mean of its divisors is an integer number (212770800).

Almost surely, 2^10527173130 is an apocalyptic number.

10527173130 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 10527173130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13617331200).

10527173130 is an abundant number, since it is smaller than the sum of its proper divisors (16707489270).

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

10527173130 is a wasteful number, since it uses less digits than its factorization.

10527173130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760.

The product of its (nonzero) digits is 4410, while the sum is 30.

The spelling of 10527173130 in words is "ten billion, five hundred twenty-seven million, one hundred seventy-three thousand, one hundred thirty".