10403856701001 has 27 divisors (see below), whose sum is σ = 15605384083783. Its totient is φ = 6935730290280.

The previous prime is 10403856700943. The next prime is 10403856701009. The reversal of 10403856701001 is 10010765830401.

The square root of 10403856701001 is 3225501.

It is a perfect power (a square), and thus also a powerful number.

10403856701001 is a `hidden beast` number, since 1 + 0 + 403 + 85 + 6 + 70 + 100 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6878550044601 + 3525306656400 = 2622699^2 + 1877580^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 10403856701001 - 2²⁹ = 10403319830089 is a prime.

It is a super-2 number, since 2×10403856701001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10403856701009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 261245671 + ... + 261285491.

Almost surely, 2^{10403856701001} is an apocalyptic number.

10403856701001 is the 3225501-st square number.

10403856701001 is the 1612751-st centered octagonal number.

It is an amenable number.

10403856701001 is a deficient number, since it is larger than the sum of its proper divisors (5201527382782).

10403856701001 is an frugal number, since it uses more digits than its factorization.

10403856701001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79666 (or 39824 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 10403856701001 by its sum of digits (36), we get a square (374538841236036 = 19353006²).

The spelling of 10403856701001 in words is "ten trillion, four hundred three billion, eight hundred fifty-six million, seven hundred one thousand, one".