10251765001 has 15 divisors (see below), whose sum is σ = 10970003841. Its totient is φ = 9579154608.

The previous prime is 10251764959. The next prime is 10251765049. The reversal of 10251765001 is 10056715201.

The square root of 10251765001 is 101251.

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

It can be written as a sum of positive squares in 2 ways, for example, as 187662601 + 10064102400 = 13699^2 + 100320^2 .

It is not a de Polignac number, because 10251765001 - 2²⁷ = 10117547273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10251765071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 140435101 + ... + 140435173.

Almost surely, 2^10251765001 is an apocalyptic number.

10251765001 is the 101251-st square number.

10251765001 is the 50626-th centered octagonal number.

It is an amenable number.

10251765001 is a deficient number, since it is larger than the sum of its proper divisors (718238840).

10251765001 is an frugal number, since it uses more digits than its factorization.

10251765001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The spelling of 10251765001 in words is "ten billion, two hundred fifty-one million, seven hundred sixty-five thousand, one".