801085761351 has 40 divisors (see below), whose sum is σ = 1229245909584. Its totient is φ = 519530423040.

The previous prime is 801085761349. The next prime is 801085761373. The reversal of 801085761351 is 153167580108.

801085761351 is a `hidden beast` number, since 8 + 0 + 10 + 8 + 576 + 13 + 51 = 666.

It is not a de Polignac number, because 801085761351 - 2¹ = 801085761349 is a prime.

It is a super-2 number, since 2×801085761351² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 801085761297 and 801085761306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801085761341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19402936 + ... + 19444178.

Almost surely, 2^801085761351 is an apocalyptic number.

801085761351 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

801085761351 is a deficient number, since it is larger than the sum of its proper divisors (428160148233).

801085761351 is a wasteful number, since it uses less digits than its factorization.

801085761351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47773 (or 47764 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 801085761351 in words is "eight hundred one billion, eighty-five million, seven hundred sixty-one thousand, three hundred fifty-one".