10523530525101 has 32 divisors (see below), whose sum is σ = 15375890448000. Its totient is φ = 6349181153280.

The previous prime is 10523530525091. The next prime is 10523530525147. The reversal of 10523530525101 is 10152503532501.

It is a happy number.

10523530525101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10523530525101 - 2¹⁷ = 10523530394029 is a prime.

It is a super-2 number, since 2×10523530525101² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10523530525601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57712465 + ... + 57894521.

It is an arithmetic number, because the mean of its divisors is an integer number (480496576500).

Almost surely, 2^{10523530525101} is an apocalyptic number.

10523530525101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10523530525101 is a deficient number, since it is larger than the sum of its proper divisors (4852359922899).

10523530525101 is a wasteful number, since it uses less digits than its factorization.

10523530525101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189949.

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 10523530525101 in words is "ten trillion, five hundred twenty-three billion, five hundred thirty million, five hundred twenty-five thousand, one hundred one".