10525464617101 has 48 divisors (see below), whose sum is σ = 12581590775040. Its totient is φ = 8775417571200.

The previous prime is 10525464617081. The next prime is 10525464617147. The reversal of 10525464617101 is 10171646452501.

It is a de Polignac number, because none of the positive numbers 2^k-10525464617101 is a prime.

It is a super-2 number, since 2×10525464617101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10525464617191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2032332730 + ... + 2032337908.

It is an arithmetic number, because the mean of its divisors is an integer number (262116474480).

Almost surely, 2^{10525464617101} is an apocalyptic number.

It is an amenable number.

10525464617101 is a deficient number, since it is larger than the sum of its proper divisors (2056126157939).

10525464617101 is a wasteful number, since it uses less digits than its factorization.

10525464617101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10514 (or 10507 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 43.

The spelling of 10525464617101 in words is "ten trillion, five hundred twenty-five billion, four hundred sixty-four million, six hundred seventeen thousand, one hundred one".