10013461500 has 192 divisors, whose sum is σ = 33505984512. Its totient is φ = 2276352000.

The previous prime is 10013461489. The next prime is 10013461541. The reversal of 10013461500 is 516431001.

It is a super-2 number, since 2×10013461500² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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, 2003004 + ... + 2007996.

It is an arithmetic number, because the mean of its divisors is an integer number (174510336).

Almost surely, 2^10013461500 is an apocalyptic number.

10013461500 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 10013461500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16752992256).

10013461500 is an abundant number, since it is smaller than the sum of its proper divisors (23492523012).

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

10013461500 is a wasteful number, since it uses less digits than its factorization.

10013461500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5213 (or 5201 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 10013461500 its reverse (516431001), we get a palindrome (10529892501).

The spelling of 10013461500 in words is "ten billion, thirteen million, four hundred sixty-one thousand, five hundred".