381970851053 has 24 divisors (see below), whose sum is σ = 434425215000. Its totient is φ = 335198666880.

The previous prime is 381970851037. The next prime is 381970851089. The reversal of 381970851053 is 350158079183.

It can be written as a sum of positive squares in 4 ways, for example, as 68642952004 + 313327899049 = 261998^2 + 559757^2 .

It is not a de Polignac number, because 381970851053 - 2⁴ = 381970851037 is a prime.

It is a super-2 number, since 2×381970851053² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 381970850992 and 381970851010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381970851953) 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 23 ways as a sum of consecutive naturals, for example, 21511823 + ... + 21529571.

It is an arithmetic number, because the mean of its divisors is an integer number (18101050625).

Almost surely, 2^381970851053 is an apocalyptic number.

It is an amenable number.

381970851053 is a deficient number, since it is larger than the sum of its proper divisors (52454363947).

381970851053 is a wasteful number, since it uses less digits than its factorization.

381970851053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23933 (or 23922 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 50.

The spelling of 381970851053 in words is "three hundred eighty-one billion, nine hundred seventy million, eight hundred fifty-one thousand, fifty-three".