10507337806221 has 6 divisors (see below), whose sum is σ = 15177265720110. Its totient is φ = 7004891870808.

The previous prime is 10507337806183. The next prime is 10507337806243. The reversal of 10507337806221 is 12260873370501.

10507337806221 is a `hidden beast` number, since 1 + 0 + 50 + 7 + 3 + 378 + 0 + 6 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9248197977225 + 1259139828996 = 3041085^2 + 1122114^2 .

It is not a de Polignac number, because 10507337806221 - 2²² = 10507333611917 is a prime.

It is a super-2 number, since 2×10507337806221² (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 (10507337806261) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 583740989226 + ... + 583740989243.

It is an arithmetic number, because the mean of its divisors is an integer number (2529544286685).

Almost surely, 2^{10507337806221} is an apocalyptic number.

It is an amenable number.

10507337806221 is a deficient number, since it is larger than the sum of its proper divisors (4669927913889).

10507337806221 is a wasteful number, since it uses less digits than its factorization.

10507337806221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167481978475 (or 1167481978472 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10507337806221 in words is "ten trillion, five hundred seven billion, three hundred thirty-seven million, eight hundred six thousand, two hundred twenty-one".