10200790517 has 12 divisors (see below), whose sum is σ = 11129014020. Its totient is φ = 9341254656.

The previous prime is 10200790487. The next prime is 10200790519. The reversal of 10200790517 is 71509700201.

It can be written as a sum of positive squares in 6 ways, for example, as 1709905201 + 8490885316 = 41351^2 + 92146^2 .

It is not a de Polignac number, because 10200790517 - 2¹⁶ = 10200724981 is a prime.

It is a super-2 number, since 2×10200790517² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200790519) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466292 + ... + 487677.

It is an arithmetic number, because the mean of its divisors is an integer number (927417835).

Almost surely, 2^10200790517 is an apocalyptic number.

10200790517 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10200790517 is a deficient number, since it is larger than the sum of its proper divisors (928223503).

10200790517 is an equidigital number, since it uses as much as digits as its factorization.

10200790517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954040 (or 954023 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 32.

The spelling of 10200790517 in words is "ten billion, two hundred million, seven hundred ninety thousand, five hundred seventeen".