10135051520 has 144 divisors (see below), whose sum is σ = 26666841600. Its totient is φ = 3659980800.

The previous prime is 10135051463. The next prime is 10135051541. The reversal of 10135051520 is 2515053101.

It is a happy number.

It is a super-3 number, since 3×10135051520³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2095505 + ... + 2100335.

It is an arithmetic number, because the mean of its divisors is an integer number (185186400).

Almost surely, 2^10135051520 is an apocalyptic number.

10135051520 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 10135051520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13333420800).

10135051520 is an abundant number, since it is smaller than the sum of its proper divisors (16531790080).

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

10135051520 is a wasteful number, since it uses less digits than its factorization.

10135051520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 10135051520 in words is "ten billion, one hundred thirty-five million, fifty-one thousand, five hundred twenty".