10510541000 has 64 divisors (see below), whose sum is σ = 24719975280. Its totient is φ = 4182796800.

The previous prime is 10510540993. The next prime is 10510541003. The reversal of 10510541000 is 14501501.

It can be written as a sum of positive squares in 8 ways, for example, as 4706234404 + 5804306596 = 68602^2 + 76186^2 .

It is a super-2 number, since 2×10510541000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10510541000.

It is not an unprimeable number, because it can be changed into a prime (10510541003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170324 + ... + 223676.

Almost surely, 2^10510541000 is an apocalyptic number.

10510541000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10510541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12359987640).

10510541000 is an abundant number, since it is smaller than the sum of its proper divisors (14209434280).

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

10510541000 is a wasteful number, since it uses less digits than its factorization.

10510541000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53571 (or 53557 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The spelling of 10510541000 in words is "ten billion, five hundred ten million, five hundred forty-one thousand".