10545211254501 has 144 divisors (see below), whose sum is σ = 19383848640000. Its totient is φ = 5462689377600.

The previous prime is 10545211254449. The next prime is 10545211254551.

10545211254501 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 5 + 21 + 125 + 4 + 501 = 666.

10545211254501 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10545211254501 - 2¹¹ = 10545211252453 is a prime.

It is a super-2 number, since 2×10545211254501² (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 (10545211254551) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3516241000 + ... + 3516243998.

It is an arithmetic number, because the mean of its divisors is an integer number (134610060000).

Almost surely, 2^{10545211254501} is an apocalyptic number.

10545211254501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10545211254501 is a deficient number, since it is larger than the sum of its proper divisors (8838637385499).

10545211254501 is a wasteful number, since it uses less digits than its factorization.

10545211254501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The spelling of 10545211254501 in words is "ten trillion, five hundred forty-five billion, two hundred eleven million, two hundred fifty-four thousand, five hundred one".