10513192950 has 144 divisors (see below), whose sum is σ = 31240927536. Its totient is φ = 2517868800.

The previous prime is 10513192939. The next prime is 10513192951. The reversal of 10513192950 is 5929131501.

10513192950 is a `hidden beast` number, since 1 + 0 + 51 + 319 + 295 + 0 = 666.

It is a super-2 number, since 2×10513192950² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513192951) 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 71 ways as a sum of consecutive naturals, for example, 192165 + ... + 240735.

Almost surely, 2^10513192950 is an apocalyptic number.

10513192950 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 10513192950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15620463768).

10513192950 is an abundant number, since it is smaller than the sum of its proper divisors (20727734586).

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

10513192950 is a wasteful number, since it uses less digits than its factorization.

10513192950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48639 (or 48631 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The spelling of 10513192950 in words is "ten billion, five hundred thirteen million, one hundred ninety-two thousand, nine hundred fifty".