10541352510 has 96 divisors (see below), whose sum is σ = 29621749248. Its totient is φ = 2585479680.

The previous prime is 10541352509. The next prime is 10541352529. The reversal of 10541352510 is 1525314501.

10541352510 is a `hidden beast` number, since 10 + 5 + 4 + 135 + 2 + 510 = 666.

It is a super-2 number, since 2×10541352510² (a number of 21 digits) contains 22 as substring.

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, 312739 + ... + 344801.

It is an arithmetic number, because the mean of its divisors is an integer number (308559888).

Almost surely, 2^10541352510 is an apocalyptic number.

10541352510 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 10541352510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14810874624).

10541352510 is an abundant number, since it is smaller than the sum of its proper divisors (19080396738).

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

10541352510 is a wasteful number, since it uses less digits than its factorization.

10541352510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32370 (or 32367 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 10541352510 in words is "ten billion, five hundred forty-one million, three hundred fifty-two thousand, five hundred ten".